I can sketch an answer for Babylonia, if that's still answering the questions, and if I can format this correctly. Basically, you are not going to be 'trafficked'. However, there's a lot of other slavery-type things that could ruin your day.

The biggest forcible enslavement thing is going to be military--if your city gets captured, decent chance you or someone you know is getting deported—manpower was always the scarcest resource in the ancient Near East. A recent publication from a private collection might be the earliest record of POWs:L an Early Dynastic (c. 2800) decorative plaque bragging about obviously inflated numbers of prisoners (Steinkeller 2013). The better documented Sargonic kings (c. 2250 BCE) have laconic mentions of ‘captured men’ and ‘roping’ defeated enemies, but its unclear exactly what happened after that. Around 2000 BCE (Ur III), we see POWs (some men, but mainly women and children from outside Mesopotamia) getting rations from the State, and they seem to be made to work alongside native citizens (I’m not going down that rabbit hole) doing farm labor for the King, and slave women were the labor supply for the textile factories that were one of the State’s most important sources of income. There are some debates about whether (male) POWs were routinely blinded, or if that only became standard in later periods (all of this from Gelb 1973).

I don’t know much about the Assyrian merchants in the north. They are doing their own thing during this time, and weren’t big into slave trading, but presumably had some slaves, especially since they were near to the northern slave-producing centers of Subartu.

Kings in Hammurabi’s time (c.1800-1700 BCE) certainly used slaves captured in war: the palace of Mari was famed for its musicians, who were primarily slave girls (Ziegler 2007, 1994); some were noble daughters, but there wasn’t confusion about those two sets, and the slave girls can legitimately be called a harem, Orientalizing worries notwithstanding. The Kassite period (c. 1500-1200 BCE) is pretty poorly attested, but trust me they still did the fighting, enslaving thing when they could.

The Neo-Assyrians. The ‘literally Hitler’ of their time. They deported a lot; I think a conservative estimate was a couple million, but I don’t have those lecture notes on hand. Maybe not technically slavery, but you’d be uprooted from your home and forced to live where the army said and do what they told you. Not great. For you, at least. (This is a decent overview, but I love Rosenzweig 2016 (haven’t yet read her 2018 article about it yet) about the nitty-gritty of the ideology in practice. Also, there is a ton of scholarship on this, so by all means go find so many more things to read

Next, we have ‘voluntary’ slavery. Again, not exactly what you’re worried about, but other people who have legal authority over you can sell you into slavery. In practice, this means parents selling their kids—there is a famous tablet from Emar that has the footprints of 3 babies (about 1-2 years old) as their signature to them being sold. (I can’t find a picture online yet, but the original publication is Arnaud 1985-7 in EMAR VI.1, 2, and 3 I believe). Debt slavery was a big deal throughout Babylonian history, and the biggest driver of non-war slavery. Kings loved making a big deal about cancelling debts to make society free and happy—you (probably; again, rabbit hole) see it in Uru-KA-gina’s reforms c.2300, and Hammurabi does it 4 times, because he loves his people sooo much. Hammurabi’s laws give a slave-woman who has bourne her master children the same right of being bought back from slavery (when used as payment for a debt) as a free woman, though she never actually gets freed at any point in this process (Westbrook 2009, Chapter 7, is a good summary of both royal debt relief and undoing debt slavery).

Now that I haven’t answered the question, let me answer it. Being ‘seized’ by a creditor temporarily (I’ll call it a citizen’s arrest for lack of a better term) was a pretty common thing. If someone hadn’t paid you back when they said they would, you could kidnap the, or whoever co-signed the loan for them (a garantor), or even someone in their family to get them to pay it back. While they were scrounging up the cash, the captured person would work for the creditor as payment for the extra interest that was accruing. Sounds a lot like slavery: you get grabbed and have to work. But! It was usually a more casual thing, and there is a text (I don’t have the citation, but its at 41:30-sih of the video linked below) where the person being held requests to go home after work instead of having to stay at the creditor’s place; that we have the text recording this deal implies that it was agreed to, and other texts show ‘seized’ people sending their slaves to do their interest-labor for them, so its not just a problem for the lower classes. Clearly, this was not a ‘clap ‘em in irons!’ situation, but it does seem to have been pretty common at some points in Babylonian history, so being abducted and forced to work is a legitimate concern, albeit not an overly serious one if you had a chance of paying back your debt.

Susanne Paulus’ lecture at the Oriental Institute gives some really good detail about debt slavery during a time when nearly everyone was in debt.

About being abducted and sold far away: this does happen to people outside Babylonia; it’s a big source of trade. However, Babylonians don’t do it to Babylonians. I don’t see a reason to think of it as much different than today: Your nation isn’t happy about pirates, and is certainly going to fight them if they become a problem to the State, but if you go somewhere sketchy and get kidnapped, it’s kinda up to you/your family to get you out of the situation, unless you’re rich or important. A lot more areas back then were sketchy, but the recent buzz about Michael Scott Moore’s book about his abduction in Somalia has that on my mind, and it honestly seems a good parallel for this whole ordeal.

Pretty much every topic and every period has its own experts, so take this as a super-superficial overview, and if I’ve misrepresented something, please tell me—I’m not an expert yet.

So, to sum up: unless you are travelling and are unlucky and get kidnapped by nomads, the only slavery you’ll have to endure is to pay your own debts. Yay!

Sources:

• Early Period Warfare:

• Gelb 1973: Gelb, I. J. (1973). "Prisoners of War in Early Mesopotamia." Journal of Near Eastern Studies 32: 70-98. This is my best reference for the early period unfortunately; I don’t know if anything war-specific has been written, and I don’t do enough Sumerian things to stay current. Check Steinkeller, he still writes a lot, and he’s done some big articles on labor in general (which usually means a debate of free v forced and private v public). Michalowski is also a good Sumerologist, but he’s less focused on war or slavery.

• Steinkeller 2013: Steinkeller, Piotr. “An archaic ‘prisoner plaque’ from kiš.” Revue d’Assyriologie et d'Archéologie Orientale 107 (2013): 131–157.

• Mari:

• Ziegler 2007 : Les Musique et les musiciens d’après les archives royales de Mari. Mémoires de N.A.B.U. 10. Paris: Société pour l’Étude du Proche-Orient Ancien, 2007.

• Ziegler 1994 : « Deux esclaves en fuite à Mari », dans D. Charpin & J.-M. Durand (éd.), Recueil d’études à la mémoire de Maurice Birot, Florilegium Marianum II, Mémoires de NABU 3, Paris, 1994, p. 11-21

• Also Ziegler 1999: Florilegium Marianum IV “Le Harem de Zimrî-Lîm”

• Assyrian deportation

• Rosenzweig 2016: Rosenzweig, Melissa. 2016. “Cultivating Subjects in the Neo-Assyrian Empire.” Journal of Social Archaeology 16 (3): 307–14.

• Debt slavery:

• Westbrook 2009, chapter 7: Westbrook, Raymond, F. Rachel Magdalene, and Bruce Wells. 2009. Law From the Tigris to the Tiber : The Writings of Raymond Westbrook. Winona Lake, IN: Eisenbrauns, 2009.

• ‘Citizen’s arrest’: Honestly, I don’t know if there is an article about it specifically, I just know it from classes and texts: MBTU 2 is a ridiculous story of kidnappings and counter-kidnappings to settle a debt incurred when a guy tried to return a slave, but the seller had died, and no one wanted to pay. About minute 30 in the Paulus lecture deals with this much better than I do.

• MBTU: Gurney, Oliver R. 1983. The Middle Babylonian Legal and Economic Texts from Ur. London: British School of Archaeology in Iraq.