Well the first thing you must understand about the Exodus, is there is absolutely no evidence that it ever happened. This event where 600,000 men (and likely 2 million people total) lived in the wilderness for 40 years somehow left not so much as a belt buckle. There's simply no archeological evidence at all for it. And there should be. 2 million people can't camp at a site for a few years without leaving any trace of their passing. The general consensus is that this was a national myth, not an actual event. Now that's about as far as consensus will take us. Some scholars will argue that there was a smaller migration, or a migration over time, or that the Israelites simply slowly diverged from their neighbors' religions over times and always lived in Canaan. But no one really argues that it was an actual event anymore. It's like arguing the route that Odysisus took. We can talk about what the ancients thought about the route. But no scholars today credit the Odyssey as a faithful narrative of a real man.

So with that out of the way, there is a route that is the one that the early Jews and Christians thought the Exodus took. If you look you'll find plenty of maps that show this "traditional" route. Basically in the story as commonly believed, they walked along the coasts of Sinai, got the commandments near the southern tip, and then spent the bulk of the 40 years in what would today be southern Israel, between the Dead Sea and the Gulf of Aqaba. However even that narrative was endlessly argued in the ancient world. As this map illustrates there were lots of alternate local traditions that identified all sorts of places as being this location or that location. So the answer ends up being if the Exodus happened at all, and it probably didn't. It took place in Sinai, Southern Israel, and Southern Jordan, plus possibly some bits of NW Saudi Arabia.