With regards to stabilisation and warming up of the turbine engine, a difference between a turbojet/fan and a PW150 is the time it takes to get the engine into a condition in which it can deliver takeoff thrust (allow me to use this word for the propeller here as well for operational comparability, although some may certainly cringe at this).
For example, a RR Tay engine takes about 30 seconds from pushing the start select switch until the engine is stabilized and theoretically able to respond to a takeoff power demand. Of course, it is not thoroughly warmed up by then, so a requirement of running it at low power for 2 minutes has been introduced.
A PW150 on the other hand will take the same 30 seconds to get the turbomachinery to run. Then follow about 15 seconds during which the FADEC runs its self test. So after approx. 45 seconds, the engine itself is stabilized. By then, the propeller is of course still feathered and not able to deliver thrust. Unfeathering the propeller will take about another 15 seconds. So it takes a little more than a minute to get a standing engine able to deliver thrust.
Seeing that the Tay is a larger, heavier engine than the PW150, one might get to the conclusion that the longer startup time on the PW will be sufficient to warm the internal parts up, leaving oil temperature as the only real limit that will not be automatically achieved during engine startup.
Just for completeness: before shutting it down, it is required to run the PW150 with the propeller feathered for at least 30 seconds to allow the internal parts to cool a bit and to avoid the things of nastiness tdracer has mentioned. It is a turbine engine after all.