Luckily, Volo's Guide to Monsters can give us a lot of insight in this regard!
Goblins, Hobgoblins, and Bugbears are all goblinoids, and can commonly be found together. Page 51 of VGTM gives us an example of a Goblinoid war camp. It is very regimented, and resembles any human military outpost. It has ditches, a command center, tents for goblins, dens for bugbears, etc. Almost certainly, an orginized goblinoid war-party will establish a well regimented camp with tents and the like, much like you would expect from humans.
Kobolds don't really have raiding parties. As described in VGTM, they are very weak creatures and really focus more on surviving than raiding. They are uncomfortable in sunlight, and will likely retreat back to a cave system and fill the whole thing with traps and escape routes, rather than create a tent camp. That isn't to say their cave systems aren't well organized, just that it would be a very odd sight to see a tent filled with kobolds in the woods somewhere. They will want to hide away to a very well defensible position which they can fill to the brim with traps.
Like goblinoids, Orcs also have a very regimented structure about them, though perhaps more savage in execution. Their hierarchy is based very much on the blessings of their gods, so warriors will sleep in one area, the chief in another, priestesses and healers in their own quarter, etc. Page 85 of VGTM tells that Orcs often go out on raids with the goal of bringing glory back to the stronghold (an example stronghold is given on page 91). Though savage, Orcs will still make camps as they raid, keeping a lookout for anybody who might trespass on their land, as well as for passersby who they can loot. No doubt they would make some kind of basic tent camp at least.
Gnolls are the most animalistic of the bunch. VGTM gives no suggested lairs for Gnolls. They are savage marauders, with no other purpose but to kill. As described on page 35,
Gnolls never set up permanent camps, though they might linger for a few days at the site of a particularly great slaughter...
A Gnoll war band is on the move at all times, and if you find one resting, its going to be in a place that they've just burned to the ground. They will likely use the ruins of whatever structures remain as shelter. They won't waste their time setting up a real camp. No tents, just carnage, and within a week they will move on to the next slaughter.