Daniel is right on. The last distribution system I did that is worth mentioning here had 450 TVs and about 50 FM receivers.

With any long run, you will lose signal, and noise will stay constant. That means that signal to noise will get worse, which can show up as slight snow on an otherwise strong signal. This is not likely to happen in your case, but it illustrates a principle that Daniel suggested -- put an amp before splitting.

You want to amplify before a long run so you have plenty of signal to naturally attenuate along the line, not amplify downstream so you amplify a weaker signal and amplify its added noise too.

And you can easily overload the Channel Plus piece he suggests with a 20 dB amp. I would look for a 10 dB.

But let's back up -- google RG-6 signal loss and find out how much attenuation you will have in those long runs, then plan amplification to compensate for it. Don't worry about amplifying four to six dB too much, but ten dB over is way over.

You will need much more involved help if you have two-way communication on this cable system, for instance a cable modem or cable boxes.

Never use a VHF/FM/UHF amplifier. Cable starts at channel two and just marches up the spectrum, using all frequencies, although not in numerical order like you might expect. VHF and UHF have a huge gap of unused frequencies, corresponding to cable 23 - 64. (Cable 14 - 22 are between 6 and 7, as are a couple of channels in the 90s.) When they build amps for VHF and UHF, they parallel two amps, one for 2 - 13, and one for UHF 14 on up (cable channel 65 on up). If you use an antenna amp for cable, you will have unpredictable performance between 23 and 64, and probably horrible performance in the 40s. You can learn to see this by scanning through channels on cable; you just look at the relative snow as you go from 14 to 64.

If your cable signal looks lousy at any time, go right out to the drop, disconnect the distribution, connect a cable and run it directly to the nearest not-small TV. If the cable is lousy then, it is the cable company, and they will believe you if you show them that.