Sometimes I’ll cold crash for a week, then rack to keg to lager. Other times, I’ll rack to the keg right away after primary is done and lager while force carbonating. I don’t think it matters a whole lot. I know a lot of the German breweries recommend lagering on the yeast cake. I don’t think it matters much if you have a full and complete primary fermentation. Most important is time and cold.
I lager a couple weeks in carboy. Usually I can get the beer near crystal clear. Then add finings to keg and rack into that. Sometimes I will even fine in carboy and just rack the crystal clear beer into keg.