Hi I instruct on the da20 eclipse. The climate where I train is quite a bit warmer but the method I teach (as per the Pilot Operating Handbook) mixture full rich, fuel pump on, fuel primer on, throttle set full (for the first start of the day use 10s otherwise use 3-5), close the throttle, open half an inch and engage started.
The 3 second rull is great for if the engine is warm but I've found that on the first start when its cold I have to use 10s and I've never flooded the engine on it. Also don't start this aircraft with the mixture leaned or you're gonna have a bad time.
Hope this helps.