I have been thinking of using one of these telescopic masts, i have one ready to use, but not for a TV, for ham radio. You can also get mounts that you drive on top of to stabilize it. I plan to build some custom mounts for it. The higher you can place your antenna, the better, if there are obstructions nearby like trees, tall buildings, etc. even without obstructions, height will improve range and performance.
Regarding "modern" TV antennas, the bigger the better for improving signal gain.
As others have mentioned, antenna amplifiers, which are typically low noise GASFET type devices work really well. Both in combination will out perform smaller boomer and or circular TV antennas which are pretty much useless. Some sort of manual or powered rotator helps point the antenna where the signal is strongest.
A few years ago I read about low profile phased array satellite TV antennas and receivers. I was unable to find out much on these. They were available, now it seems they are not.