Which manner of luggaging is the best when you're homeless
That all depends on the circumstances and amount of items you need to lug around. For some, an item from Rimowa fits the bill. Some need just room for two, such as a single mom with a child under 12, while there's the needs for a two parent family with four or more children.
Straps are an issue as well. Seams split easily when overloaded, and while wheels and 'carryabouts' may seem attractive there's always the issue of dirt, grime, and other residue...not to mention the problem of the body not being correctly upright while pulling the load.
Before spending ANY money on an item, take the time to actually walk around the store with it for 20 minutes. Get a feel for what you're in for. If it's a 'drag', then imagine having to depend on it for what your life will depend on.
Taking a few precautionary moments can mean the difference between being able to concentrate on what's necessary, or having to deal with simply another negative issue of being homeless.