Repairing or replacing concrete footings
A footing that has cracked or sunk usually can't be patched in place, since the trouble is often the soil under it, not the concrete. If the structure above is sound and just out of level, raising it may be the better fix, and I'll tell you so. If the footing was too small for its load from the start, I'd sooner replace it than dress it up, because a patch on a weak footing only buys time.
What shapes the cost of a footing job
The design sets most of it, since deeper, wider footings with more steel take more concrete and more labor. Access counts too, because a tight side yard, hard ground or an old slab in the way slows the digging. If a budget has to give somewhere, I'd rather you trim a finish above ground than the trench or the steel, because nobody sees those once the pour is done, and they decide how everything above holds up.