Cold start Cessna
Leave primer out and push in as engine is firing and often this is all that is required to get some momentum going, also pump throttle if necessary.
Some still hand swing before flattening the battery and/or pull the prop through before trying to start at all.
Care with flooding potential and fire, if fire keep cranking if possible and have extinguisher ready!!!!!!!!!
In short know your aircraft if possible, take advice and demo in cold wx...
Edit: Could fit heavier duty battery to prevent most winter starting problems.