Thanks guys. I'm just looking for 1 computer. Nothing more. I wouldnt be streaming or anything. The wireless would just be used for internet access. But what I could do is just use a wireless bridge and run a cable to the system if that would be a better option. I will check out the Mythbuntu and see if thats a little bit better option for me if this doesnt work out.
I don't think you'll need to bother with a wireless bridge unless it is for other reasons. Just go the simple route, with wireless in the PC, and an access point (your router or whatever you currently use). As I've said, I've used LMCE on a wireless with no problems, but I haven't tried streaming. Since you're not interested in that, you don't have a problem anyway. LMCE doesn't care about how the connection gets there. The only reason people are concerned about wireless with LMCE is because of the issues of PXE booting and streaming speed, both of which don't affect you.