First things that come to mind is the distributor. I would take the distributor to a quality shop that can recurve the vacuum advance. Second check out your plug wires, and ensure that they are indeed getting spark to the plugs. Check your spark plugs, to see if they are not oil fouled or carboned up. If they are carboned up, clean and or replace. Check the gaps of the plug, and set to factory specs. Check your distributor cap, and rotor to check for evidence of shorting out. If the cap and rotor are fine, then go on to the carburetor.
You say it is an Edelbrock 650, those are very common and easy to find carb rebuild kits for it.
Check your timing, by using a timing light and check it. A web search should show you how.
How's the fuel line to the carb? Any leaks, drips etc? Replace the fuel filter, should only be $3 to $5 for one.
Be sure to drive it often, in order to ensure it gets some exercise.
The above items will keep you busy for a while.
A low dollar upgrade is gasket matched porting of your heads and intake.
Hope this helps, and enjoy your car.
Just noted vtmopar wrote much of what I did, so 2 people telling you basically the same info it is sound advice.