For backyard or 3D use, I like a back or side quiver, and lean toward the side quiver. It is handy, you can see the arrows and select easily, and they drop right back in. I would avoud anything that you would have to clip the arrows into for just target shooting. You end up putting them in your back pocket to avoid the hassle. Oh, and back pockets are just the ticket for me in the yard. Cheap, too, they usually come free with a pair of pants.
Speaking of pants, the quiver on the right is one of my favorites. I made it as a prototype about ten years ago, still use it here and there.
For hunting, I go with a bow quiver like the Thunderhorn mini Boa, or I use a GFA type made by Gary's Custom Knives. This is basically an old Fred Bear bow quiver that is built into a "possibles bag", and hangs at your side via a wide strap.
It hangs naturally, and so comfortably that I forget I am wearing it sometimes, and back into stuff (like trees) with my fletches. Oops.
I have used this for 3D, where I usually just walk around with one arrow out anyway.
Last hunting season I carried this type (link below), and it did real well out in the field. Under the link is a pic of me carrying it in November.
http://www.3riversarchery.com/Product.asp?c=14&s=74&p=0&i=6203 Confused yet?
Killdeer