By "signals" you mean radio signals, I presume?
Well, I suppose you can generalize. FM radio, with a high frequency and shorter wavelength, only has a range of a hundred miles or so (barring weird atmospheric conditions.) Shortwave radio, with a lower frequency and longer wavelength, can travel thousands of miles because it skips off the ionosphere. And the US Navy uses incredibly low frequencies (huge wavelengths) for communicating around to world to operating submarines.
As for power required and interference, I don't know. Interference usually depends on the way you modulate the signal, not solely the frequency.