Most people who call about stamped concrete have a plain gray slab, a patch of dirt out back, or a yard where they want something nicer than bare concrete. Stamping gets that stone or brick look in one pour. It's still a slab underneath, though, so it needs the same dug-out, packed base and the same care with water as any concrete we pour.
The price moves with the size of the area, how much digging and base work it needs, the pattern, how many colors, whether the color goes in the mix or on top, whether the slab gets rebar, the steel bars set inside it, and sealing. Your estimate lists each of those on its own line, so you can see where the money goes.
The schedule turns on three things: whether your job needs a city permit, the time of day we can pour, and curing, the slow hardening before the slab is ready for use and for sealer. I'll tell you on the estimate visit which of those apply to your job.