get a splitter and run it under the carpet or under the floor if you have access. I would get a splitter from your cable company and not a cheap one from radio shack. stay away from those.
I don't know what cable company you go through, but most of the ones I've dealt with in the past have had cheaper splitters than what you'd find at Radio Shack.
For broadband cable internet you'd want an in-line or in-splitter filter anyway, which most people, including cable installers, seem to forget or not know about.
As for setting up your wireless network or getting a signal throughout your home, what about those setups that use regular electric lines and outlets to network? Seems to me if you're having trouble getting a signal throughout the home that might be your best option.
Alternately, you could run your cable/coax along the top edge of the wall, or even inside a drop ceiling, instead of through the floor. Or run it in the basement and simply have a floor-based hook-in plate mounted to the floor near the corner of a room. What might help to give us an idea of what you're attempting or what you need, or simply to see the layout we're "looking" at, is post some pics or rough sketches of your home layout. Blueprints would be nice but I don't think you need to go that far to relay the visual information.