Mike,

It could be several possibilities.

Fuel---- failing RPM relay. Can you here the Fuel pump prime briefly when turning the key to the run position?

Ignition --- Loose or corroded terminals on coil or ballast resistor.

Cold start injector--- not functioning properly during cranking, Assuming fuel delivery is GOOD.

Since your new here can you provide some history of he car? How often do you drive it? How long have you owned it? What is the recent maintenance history?