I have had the same problem with slow starting for the past year. The cold start module's (called the Start Injector Time Switch in the manual) resisitance should be 25 - 45 ohms below 59F and 65 -85 ohms above 86 F. This item is below the RH ignition coil next to the thermostat housing.
My switch tested fine so my cold start injector is probably plugged. To remove the injector, the manual says to remove the air cleaner, AFM, throttle body, LH engine cover, disconnect ISC valve conn, cold start injector connector, VSV connectors for EGR and FPU, disconnect 18 hoses, remove EGR modulator and VCV, remove air pipe and vacuum pipe , disconnect #3 water bypass valve, remove accelerator cable bracket, disconnect cold start injector tube, disconnect EGR pipe, remove air intake chamber and finally the cold start injector.
I was wondering why I haven't tackled this task sooner.
Once I get the injector out I plan to clean it by running some solvent through while having the injector powered by a flashlight battery. The manual shows a test using the 12 volt car battery across the injector terminals but says to be quick. You need to be careful since there is a coil in the injector you can create an arc by opening the circuit which could ignite any spilled solvent.