what does the service cost per month?
If you don't already have a tivo, it's $12.95 per month, OR $129 per year OR $399 lifetime.
can you use it with out paying for service
Can this be used with Directv?
Is there a way I can remove the movies/shows
recorded here and into my computer?
MAYBE. if you have Tivo Desktop, you can transfer wirelessly BUT the program cannot have a broadcast flag. For example, anything on HBO is copy protected these days. Tivo Desktop is great, and with Desktop plus, it will auto convert for ipad/ipod.
1) Will this thing hook up to my computer (meaning I can watch video, edit video, get screen grabs, etc. on my computer), and
NO. You can use it with HDMI if your monitor supports it, but it's only a monitor.
2) If I buy this, what do I need to ask the cable company for? Besides their blessing?
A Cable card.