Effect of crossover frequency...
Beyond what Lovin' wrote, the XO frequency is meant to help protect your woofer from too much power and possible overexcursion (the cone moving outwards too far, thus allowing the voice coil to leave the cylinder and misalign (bad)). It is also noted by many that by offfloading the lows to a capable subwoofer, you take power demand off the speaker itself where it is not necessarily meant to excel (down low), and allow better performance in the mids and highs. To my ears, in my system, it is a subtle shift to better bass, (punchier) from the subwoofer, and more clarity in the mids.
I cross at 80 Hz. Others like it a little higher, still. I would not recommend going over 100 unless it is a small standmount speaker that doesn't perform well below 60Hz.
General rule of thumb is to cross 1 octave above the F3 of the speaker. So, the F3 is the -3dB point at the low end of the FR on the speaker. 1 octave is a doubling of the frequency.
So let's say you have a speaker rated ±3dB 34Hz-20kHz. Take that 34Hz, and double it: 68Hz is 1 octave up, or 70Hz.
Hope that helps!