If you want to play all the games you already have, look for a tablet that runs Windows 8. Both Asus and Acer make Windows 8 tablets that come highly recommended. Lenovo also makes Windows 8 tablets and I think Dell has a couple of them too. I believe all Windows 8 tablets from them are the full Windows 8, but check to be sure they aren't running Windows RT. It's Windows 8 too, but you can't run 3rd party apps such as Big Fish Games on it. The Microsoft Surface is an excellent tablet, but be sure to look for the ones that are Windows Pro... they are the only ones with the full Windows 8 on them.
This link is to all the Windows 8 tablets at Newegg, but like I said, ignore the ones that say Windows RT. Newegg Windows 8 Tablets
EDIT: Forgot to mention that most of the Windows 8.1 tablets also come with Office Home and Student. You can get keyboards that snap on and off. I believe the ASUS tablets come with the keyboard. One of the things I like about my Surface is the full USB port which I can plug a mouse into if I want or even my digital camera to transfer pictures. The Surface also has a microSD port which you can plug as much as 64 GB of extra drive space into.
Another thing I like about my Surface is the kickstand and the 7 GB of free cloud storage that comes with it.