I don't full-time, but I have taken some piecing supplies with me on long trips. I pack all my gear under the bed when traveling. That is near the hitch on my trailer and doesn't bounce much. I have a fold-up sewing table I got from Leah Day,; I think it called a Gidget. SewEZ is another brand. I keep my basic supplies in a tackle box from the fishing store. I also keep my piecing organized in small totes. In general, I try to pre-cut what I can at home and just do piecing when in the trailer. I do take a cutting mat, rulers, and iron with me, leaving them in the totes. I used to take a fold-up ironing board, but I am just taking a roll-up pressing surface this year.
I am sure others will pipe in soon. Are you going to full-time or just vacation? It makes a big difference on how much storage you need.
Pam