I have always wanted a projector for my tv, satelite, cable, and even PC in a spare bedroom. Well it's more of a home office that I spend most my time in and the catch here is it is a small room. Room is only the standard 8foot tall. Room is about 13 feet wide on the wall where I would like to mount the project and the wall where the screen would be for it. So only about 13 feet away from projector to screen.

I would like to know...

1)
From experience or knowledge what would be a good projector I could hook up to my satelite box and also my PC? Cheaper is better in this case but I would still like the best image for my buck and something reliable. There is no sunlight in the room either to worry about.

2)
From that distance of about 12-13 feet away, how big of a clear picture could I expect?

3)
What kind of cables would I need to purchase and run through my attic to my cable/satelite receiver box as well as my PC?

4)
These cables in question 3 would most likely need to be a good 15-20feet in length to reach, would I need anything special for that to work at those distances?