EFI to replace Edelbrock carb
I'd only go EFI if you have other goals here in play that you haven't mentioned. TBI type setups are only an incremental improvement over a carburetor, at a cost that's going to be a lot more than having a good mechanic fix the one you have or even buying and tuning a new carb. They have their place if you want a few cold start improvements and a programmable timing curve. Or if you just have the urge to check the "yep, I have EFI" box.
But if you are planning a turbo or nitrous build, want advanced drag racing features like traction control, or similar, my advice would be to go big or go home. These goals call for a multiport setup, and maybe other things like a crank trigger.
But if you just want the car running well and running for a long time, and there are no other goals - fix the carburetor.