Lots of great advice! After you've checked for brake drag and gone through Mike P's list I'd change the fuel filter, and then look at the accelerator pump on the carb and see if you're getting a strong and consistent volume shot of raw fuel as you move the throttle from idle to WOT with the engine off, looking down the venturi's. I'd assume that the car has been running ethanol blend gas, and when you say you recently bought the car chances are it sat idle for a while? Today's blended gas destroys older fuel system parts, especially if left to separate and become corrosive.

Just another $0.02 worth to consider.