These aren't like carbed cars where flooring the pedal or pumping it will provide more gas to the engine. If you don't hear the pump prime for 2 seconds before you start it, it'll either be the pump or the relay.
The pump isn't hard to change at all in these cars. I've had my tank down more than a few times. I will say that it's a hell of a lot easier with hardly any gas in it. It's only 2 bolts that hold the straps for the tank up, then the tank will come down. If you do open it up to change the pump, be prepared to a lot of dirt and possibly rust on the top of the tank. When I replaced my pump years ago, I could NOT get the ring that holds the pump assembly back in correctly, and the tank was leaking gas like a sieve. I wound up just getting a new tank and being done with it.