Yeah you can carry containers and barrels. I keep 3-4 containers, 2 for craftable items and two for consumable items. I keep 2 barrels, 1 for money (since it doesn't always stack) and sellable items and one for just sellables. You can even place containers and barrels into one another for more inventory space. They have the same number of spaces as they do when you find them. It keeps your inventory looking nice and orderly too. I have such a bad case of OCD that I hate seeing things all over the place in my inventory and no sort button to help out. Keeping things in containers helps reduce clutter.