What do you call a group of people that move a lot?

I can't think of the word to describe it. Something similar to "wanderer" or "roamer".

It's often used to describe people that don't stay in one place... not "migratory"...

Solution 1:

I think you're looking for nomadic, which describes a group (or person) that has no permanent home. Nomadic tribes often follow herds of game animals, for instance, so they would have seasonal camps.

Solution 2:

Are you thinking of vagabond, perhaps?

wandering from place to place without any settled home; nomadic: a vagabond tribe.

leading an unsettled or carefree life.

disreputable; worthless; shiftless.

Solution 3:

I voted up "nomadic" because it is probably the best word to use. However, if we are asking about English as it is commonly used, I have most often heard the word "gypsy" used for that type of person.

The problem is that this is the name of an actual group of people in Europe, and thus the term is somewhat racist. Oddly, it mostly lost its negative connotations here in the USA, but I suspect that isn't the case the closer you get to their homeland in Eastern Europe.

Anyway, if you are talking about an actual culture of people (as it looks like you are), calling them "gypsies" when they aren't actually ethnic gypsies would be very confusing.