My son and his wife drive a truck cross-country. They "live" in the Louisville area and have a storage container there with their household items in it. They do not currently have a living space.
They keep their summer clothes in the truck with them in Rubbermaid totes and their winters are in the storage container. They switched out last week when they had a run through the area. It detoured them about 30 minutes to go get them. They do keep some summer clothes with them because they never know where they are going to be headed. They spent several weeks in the Texas, Arizona area last winter, which they really liked and were glad they had a few of their summer clothing.
If I were full-timing, instead of having a storage building, I would just ship my Christmas stuff to my sister who owns a manufacturing company and a big warehouse. When fall arrives next year, she can ship it to me or we could pick it up when we were in the area.
I don't know if you have those options, but shipping on a medium size box is not that expensive.
2017 Ford F350 Crew Cab 6.7L 4x4 DRW