Turning the key on-off-on several times will give the fuel pump more time running so it can get fuel back up to the fuel injectors. My last fuel pump got so bad I had to cycle mine 7-8 times before it'd start.
The cure is simple, replace both your fuel pump and fuel pressure regulator which can be found as an assembly like below. It's leaking and allowing the fuel to drain out of the engine instead of staying up next to the fuel injectors so the engine can start right up.
AVOID LIKE THE PLAGUE Airtex, Spectra, and local store-brand fuel pumps. They will fail prematurely and you'll regret having installed them. Instead, go strictly for Bosch or Mopar, those are the only two brands that hold up.
This is what the assembly looks like that you want... don't buy any of the kits without everything shown here because the leaking can occur in either the fuel pump or fuel pressure regulator... there's no sense betting which is bad so pay a little more and buy the complete assembly as shown.
Make sure the gas tank is as empty as possible before starting the job.