I'm new to the whole zcar thing but replacing a fuel pump is pretty simple. when you pull the fuel pump your fuel lines drain and fill up with air so when you try to start your car after the new pump is installed it might take a while for the fuel to reach the engine. in my experience priming isn't necessary, you just need to crank the engine for a while and let the fuel get to the engine.
Ben is right and I have done it that way as well. If you want though, the method for priming is to disconnect the line to the cold start and crank the motor with the line in some container to catch the gas. You can also use the return line to the tank using this same method. Remove the coil wire of course. This fills the lines with fuel and should allow a quick easy start up after its done.