2 Tivos-1 room

I have a Premiere XL, getting ready to set up an XL 4, in same room, using Charter cable card.

1. Have one coax cable, hooked to tuning adapter, then to XL. How do I hook up the XL 4 to the cable? I have a new cable card, with a new tuning adapter. Can I run the cable through one adapter for both Tivos, or do I need 2 adapters? Do I have to split the cable, and if so, will I lose signal strength? Does each Tivo have to be hooked up separately to the cable?



2. How do I get one remote to contol one Tivo, and the other remote to control the other Tivo?





Thanks