I have questions about "cutting the cable". I've had it with the

[TexasProgresive]

2. A little primer on over the air broadcast antenna and distribution.

Depending on your distance from the broadcasting antenna towers you may be able to use small set top antennas for each set if your house is not like mine. Our house is sheathed with foil backed insulation. There are also newer windows that are effective RF blockers. Buy one antenna as try it out on each TV set to make sure it works well for each location. You will have to change the settings on the TV to broadcast or over the air or whatever is not cable and do a a channel search.

If that works on all 4 sets you are good to go- buy the other 3 antennas.

Before you read the next part I just read your post again. Each set has it's own mini box- If they have their own coax cables going to a the main box the following procedure could be a piece of cake.

But, don't you hate buts?, if not you may need to get a more powerful directional antenna that can be mounted in the attic if you don't have a metal roof, then outside on a pole. The antenna lead will be 75 ohm coax and you will need a 2 stage amplifier. That has a power supply with the actual amplifier at the antenna. The power unit needs to be located at a point that it will be easy to run coax to each set. You will need a 1 to 4 splitters to share the signal with each cable.

FYI the higher the frequency of the channels the greater the loss over the length of the cable.