All Mowers Work Well on All Levels of Grass - Different grass gross differently with different thicknesses. (Thick grass might need a more heavy duty mower). Make sure you get the type of mower for your type of grass.
Cutting Grass Shorter Means Mowing Less Often - Different types of grass and what season you are in will play a part is how much to cut your grass. A general rule of thumb is 1/3 of the length.
You Can't Cut Wet Grass - It's not a problem to cut wet grass, you might want to spray some WD40 or silicone on mower deck before to help prevent the grass from sticking. *too soggy ground can lead to tire ruts in the yard, however*.
Consistent Mowing Path is Best - This can mat your grass down and can actually hurt the growth of your lawn. Change it up from time to time to ensure proper growth.
Mowing Late in the Fall is Unnecessary - If you leave it too long late in the season, it promotes mold growth, so make sure you don't cut your mowing season too short.