Most calls start with a plan for something new, like a deck off the back of the house or a porch being rebuilt, or with posts that have started to lean. A footing is a concrete column, usually sitting on a wider base at the bottom of the hole, and it's there because the dirt near the surface often can't carry weight on its own.
The price moves with how many piers your plan calls for, how wide and deep each one has to be, and how hard the digging is to get to and through. The schedule turns mostly on the permit and inspections, then on curing, the wait while fresh concrete gains strength before anything goes on it. Your written estimate spells out what's included for your job.
In California, the state license board describes a concrete contractor as someone who forms, pours, places and finishes concrete work, which is what a footing job takes. If someone else is framing your deck, it's worth knowing who's licensed for the concrete underneath it.