With my engine, 92 175..........Since I'm in it weekly never need to pump the bulb but,
1) Advance throttle just off the neutral detent
2) Turn key to "on"
*3) Press key in to enrich for 10 sec's
4) Crank to start
5) Bump en-richer if necessary
*The thing/confusion that may exist here and there about the whats/hows the en-richer actually works sort of had me curious so I of course I had to see exactly how it worked for myself. It's quite simple actually and not really too different then just pouring fuel directly into the throat of the carb.
Priming with the engine cranking or not shouldn't really make any difference (doesn't with mine but, perhaps some are built differently, so this might not apply to all types/instances) because if you've ever poured fuel down the throat of a carb from a can, sat the can down and got in the car and crank the engine then this is exactly what is happening if you prime then crank.
Referring to the above photo of my engine, the valve, when opened simply allows the top carb's bowl to gravity drain into a dedicated ports on top of and that only the 2 carbs below have. Ya can open the butterfly's and watch, you'll see the fuel just floods the throats (behind the butterfly's at carb base) with fuel............If you get a chance, check it out, active the valve and you can see the fuel puddle up/flood the throat at the back and run forward even.
Just like pouring in the fuel with a gas can to me away. If you're cranking at the same time, it'll just draw the fuel in in a more "real time" event but, if you let it puddle, then crank, same diff, its get sucked in in a instant ya hit the key to crank......That's how mine works anyway, makes no difference on my engine, tried both ways but, prefer to prime while not cranking cuz I can hear the "click" of the value" when not cranking at same time. Mental thing I suppose knowing the valve coil is at least good and the click tells me it opened.