I have a Steven Catts plains style quiver. It has a nice pouch on the side that's just big enough to carry some essentials like glove, armguard, stringer, sharpener.
I shoot right handed and wear mine on the right. I think that's opposite of how most wear them or are supposed to wear them from what I hear and remember. I tried a lefty one but didn't like how it hung off/by my bow arm when shooting.
Wearing a righty the arrows are in front of the quiver as you walk which can cause the fletchings to hang up on brush. However, I just spin it back so it's behind me or wear it lefty if I'm just going to a stand and not doing any shooting. The strap fits over my tree stand when carrying it on my back too.