Actually, the Moon seems the place for telescopes rather than other planets, at present anyway, with present day technology.
There are many advantages setting up a telescope on the Moon, and it is also easiest to get to. Once we have easy heavy lift to the Moon again, and assuming we sort out power supply for the lunar night, and communications with the far side for the far side projects (communications satellite in orbit around Moon probably) I think quite likely we get telescopes built there.
The craters of permanent darkness at the poles are the coldest place in the inner solar system, so ideal places for infrared telescopes as they would be passively cooled. See A Deep Field Infrared Observatory Near the Lunar Pole
Anywhere on the Moon you have vacuum so no "star twinkling" so sharp images with no need for adaptive optics (space telescopes of course have same advantage)
Anywhere on the Moon, a crater is naturally the right place for a large mirror or radio telescope.
Artist's impression of liquid mirror telescope on the Moon - it's a low cost way to get an optically perfect surface. Downside is you can't tilt it, so have to look straight upwards at whatever is above you (some leeway back and forth).
All of those have been proposed for the Moon.
Easiest to build right now are the long wave telescopes on the far side of the Moon.
Though - in a way we already do have telescopes on other planets - well on Mars anyway - our rovers cameras with high power magnification are like small telescopes. E.g. Curiosity's view of Phobos transiting Deimos