After years of turning and owning six lathes, I have two that I take on the road. One is a Sherline mini-lathe. Older and pretty plain, but does a great job with the miniature versions of everyday items. Best thing is using found wood, where ever I am. My second lathe is an older Record compact. Heavy enough to do some nice bowls and spindle work, and with the swivel head it works great on even larger work over the side. It does require tying it down, but there is always something to be used as a base, concrete picnic tables work fine.
The issue is to down size the pieces you make. I keep a buck saw for trimming burls from trees. Roughing out greenwood blanks keeps me sharp, and gives me some interesting pieces with good stories.