Yes, I use Apple's bluetooth keyboard with my iPad Mini and my iPhone 5 when I get tired of typing on virtual keyboards. It works great on both devices. I also use it sometimes with my Apple TV.
Yep I love my wireless Logitech solar powered keyboard. It connects with Bluetooth to three different devices so I have it connected to my computer, iPad, and Apple TV.
As @JustMe'D said, I also just use the wireless keyboard from Apple. The keyboard is really awesome and connects directly and works flawlessly. I also checked a lot of keyboards online ad in stores but most if them are just too small for my hands/fingers which is uncomfortable. The only keyboard which seems great but I couldn't test it is the Logitech Ultrathin (the new one)
The new one is even thinner, works longer and is lighter. And most impressive are the new clip as well as the holding part which you can tilt to different degrees
When it appears in the apple store in my town I'll update this post