Do you live in a historic home and want to tie your new system in to work with existing features? The price will go up to do the job right. All of these things add up to slow down the HVAC company, which takes more time, which costs more money for labor and parts. This is especially true if they are a legitimate company which is licensed, bonded and insured. Simply put, this is the “X-Factor” in your HVAC installation cost. Again, you could get people to do it for cheaper…but you won’t be happy with the results, I promise.
The AC contactor (relay) and start/run capacitor(s) (see illustration below) fail most often and are inexpensive. So it's a safe bet to buy and install those parts right away, especially if your air conditioning service unit is older than five years. The condenser fan motor can also fail, but it runs about $150 — hold off buying that unless you're sure that's the culprit.
In addition to the information below, see these two articles for the general care and maintenance of your air conditioner: Preparing Your Air Conditioner for Summer and How to Replace Furnace & AC Filters. Most noteworthy, you should replace the filters at least twice a year, before the heating and cooling seasons. For information on furnace problems, please see Furnace Not Working.