The wife and I got the Zagg BT Keyboard Folio cases and had a couple of problems such as mine not being for the 3rd generation iPad and hers messing up her Zagg Invisible Shield where the rubber bumpers on the keyboard rub up against the iPad. And the shield damage occurred within a day so we sent both cases back and continued our search for the "perfect BT keyboard case for our new iPads. Well there isn't one, obviously but we are both happy with the Belkins that we ordered from Amazon and had less than a week after ordering. Here is a link if you are interested in looking at what is working for us.
Amazon.com: Belkin Keyboard Folio for New Apple iPad 3rd Generation, HD, 1080P, WiFi, 4G LTE, AT & T, Verizon (Black): Computers & Accessories