Carburated Mooney's are notoriously difficult to start in cold weather so I learned a neat little trick good for most carburated engines. Believe it or not there is a way to get a hard starting plane to fire nearly every time.
Mixture - rich
Throttle - cracked
Prime the engine by pumping the throttle three to five times.
Bump the mags quickly not letting the blade go a full turn.
Mixture - ICO
Throttle - half
crank until firing then ease the mixture in and the power out.
It's not to dissimilar from the Cessna three hand start and doesn't involve pulling any blades through by hand.