Help Understanding RF Transmitting

[TinCanAlley]

So here's what I want to do, but I need some help understanding what is needed so I can get the setup right the first time.

I currently have several RF devices (laserdisc, VCR, etc.) that I want to transmit and ditch the coax. My first step was to get the Archer Video Distribution System that will take three RF inputs and output all three on a single RF out and you access each by tuning to a certain UHF channel. What I want to do now is take one of those RF outputs and send it through an RF amplifier to transmit it so each TV in my place can tune into one of those three channels.

So here is what I need help with.

What kind of power would be necessary to transmit a signal strong enough to cover 2000 sq ft. Not looking to send it far as each TV would be within 20 feet of transmitter and maybe one wall.

With the power amplifier, is it as simple as connecting a pair of rabbit ears to it for transmitting, or do I need something tailored to the channels I want to broadcast?

I've read several posts here recommending the BT AM-60, but it seems a little overkill for what I need. Is it? If not, does it take a simple RF signal as input or do I need to do more signal conversions?

Anyway, thanks ahead for all the great input I'll get (as usual).