I Got a $13 ULAK Case for my BT3 10.1". It is good for what it does and is easy to carry by placing my finger tips in the rotation well. The tab snaps into the case so it doesn't move around except by intentionally rotating it which I don't need.
I wish it had a platform over the long sides with cutouts for the buttons to keep my hands from accidentally brushing against the sensitive buttons while reading. Seems I get nervous fingers when the good guy is being chased and right at the point he's about to get it my screen goes black as I touched the "go back" button.
After posting I took another look and am buying another case that has the side platforms. It's $17 and is the Fintie Folio Hardback Leather Case. I believe I'll like it much better than what I have.
I'm using the "Minisuit Qwerty Keyboard / Case (w / kickstand)" and am happy with it. There are appropriately placed slots for charging, earbuds, and speakers. The keyboard is held in place with magnets, and removes easily to enable tucking the flap underneath the kickstand (when you're watching movies) IMHO, for $29.95 it was the best "Bang for the buck" for me.
As far as using the screen it works pretty good. When it comes to pressing that physical home button, not so much. I end up putting a finger behind the Tab in order to squeeze it with a hand rather than pressing it with 1 finger.