Look up a few repair garages in your area - drive by, the ones with a full lot are good candidates to get an estimate

A large, private tire shop is also a good possibility - as the other poster mentioned, my tire shop is where several repair shops send their cars for alignment - an alignment shop will check for problems in the suspension, an alignment won't work on a car with suspension problems.

Look and see how neat the shop is.

How did you buy the car - if it is a private sale, you should have had a mechanic check it out

If it was any kind of a dealer (new or used) there should be some kind of law in your state - like if it doesn't pass inspection for a safety reason, the dealer must fix the car.

My Volvo dealer charges one hour's labor to check a car out. Cheap insurance.

For instance - upon inspection my dealer fpund a leaking vaucume pump and said that the brake pads did not meet properly with the rotors. The Kia dealer sent the car to his Lincoln branch, installed a new vacuume pump, changed the front rotors, smoothed out the rear rotors and installed new pads all around. Probably $500 work, and we had already agreed on the price of the car.

Good luck