the free shipping option will tell you how it will be shipped. usually it is ups but could be the others.
each option tells you how much and who and how long it will take. generally for me, the cheapest option normally shows up quicker than it says it will. not always true but pretty often 3-5 days is 2-3 days for me. and oddly stuff that comes from california is faster than from nj warehouse and i am in virginia!! no clue why but this has normally been the case.