I've got half a dozen chests and barrels in the house you start in, and almost 10 in Riverton market. I didn't want to sell much until my reputation got better, because I'd be giving away huge portions of what my stuff could sell for if I did.
You can drag them into an open inventory window. If you use your teleport cube, you can get from where you find a chest to where you want to put it without having to walk a step.
Pro tip: Some chests weigh zero if you load them in when opened.
However, most don't. And most close when you load them in. I got three or four weightless chests, though. Handy!
I keep different chests for everything, including stuff that needs repairing before selling. (Having Geoff in Riverton repair your stuff, once you've repaired it to 60% or more with points in the repair skill, is probably the cheapest way to build faction with him.)