Welcome to the site!
I'm not sure about using BT, but you can definitely use wifi to control your desktop using Logmein.com or VNC. However, if you are looking for a keyboard/mouse replacement, I think you will be disappointed because of small size of the Axim screen and the limitations of using a stylus.
If your main purpose is to control your TV, you can also install software that will let you use your IR port for remote control purposes.
Check out this link for more info (keeping in mind that it is a bit dated now):
http://www.aximsite.com/whatcanidowi...aRemoteControl