I would highly recommend not running HDMI in-wall unless there is a specific need (like ARC support) that would be too expensive to do with HDBaseT baluns. HDMI cable is more expensive, less versatile, less reliable for long runs and is pretty close to be obsolete for in-wall installations as the baluns improve. If you decide to run the line anyway, why would you need more than one?? HDMI switching should be done with an AV receiver or HDMI switch in the closet, not with the TV.
As for the Cat5e/6, I would run at least 3 but 5 would be better if its in the budget. Sure 4 coax would cover cable TV + 3 for component video but you could always do a balun over Cat6
for that as well with a single run.
What are you left with?
- 3 to 5 Cat5e/Cat6
- 1-2 coax for cable/satellite etc
- 1 HDMI (if needed for ARC)
- 1 empty conduit
- electrical outlets
Also, one other piece of advice - if you're mounting your TV on the wall, put all these runs into a recessed box
. It will give you a lot more room to work with.