Most militaries had some form of camp fortification practice. The difference was that the Romans were extremely efficient because they had developed a professional army and had centuries of military theory to base their practices on.

We have very little information on Gothic camps. I'm assuming by "Ostrogoths and Visigoths" you mean "Greuthungi and Tervingi" which were the two separate Gothic groups that crossed the Danube in 376-378. The Ostrogoths and Visigoths don't develop until later (and the Greuthungi and Tervingi both become part of the Visigoths) but I digress. Our primary source for this particular period is Ammianus Marcellinus, a former officer in the army of Julian II and who had access to eyewitnesses to the events of the Gothic wars of 377-382. The surviving part of his work is available here: http://penelope.uchicago.edu/Thayer/e/roman/texts/ammian/home.html

Unfortunately, Ammianus does not provide a great deal of information about the Gothic camp. He mentions a wagon lager used as a barrier, which seems a common practice based on our source material. The Strategikon has virtually nothing to say on Germanic campaigning camps. However, it is clear they did not leave them undefended, and that they were sufficiently distinct from Roman practice: for example Jordanes implies that the Gothic camp was distinguishable and separate from the Roman camp at the battle of the Catalaunian Fields. He also mentions Attila's allied force was encamped within a Wagon lager. Germanic camps were probably arranged with some degree of familial relevance, as familial ties were the most important in these societies. The tents of their leaders were distinct from other aristocrats and warriors (as Ammianus indicates before Adrianople, when the Romans go to their tents to negotiate). However we do not know for sure. They clearly did not organize their camps based on a regimented military structure in this early period of their ethnogenesis (they may have later, when they used a regimented army in Spain in the 500's-600's).

The Huns did camp differently from the Goths. We know from the Strategikon that they did not entrench their position, but spread out according to clan and let their horses graze on the open fields, with a constant patrolling of highly mobile sentries guarding their herd and forces. This was because nomad armies were extremely mobile and they could retaliate against an ambush quickly. They also employed wagon lagers, as Jordanes indicates. We can infer that they also probably organized their camps from left to right (east to west, facing the south) based on their political organization as well (along with Priscus' account of Attila's capital, which clearly shows Hunnish housing arrangement was based on proximity and position to the Hun emperor).