Lagers take longer to ferment, so you want to do primary until fermentation is 75-80% done. If you have a large cooler that you can get your bucket or carboy in, add some ice water and frozen water bottles to hold temps in low 50's. Then when 75-80% done, take carboy and warm back up to temps in mid-60's for three days...this is a diacetyl rest. Lager yeasts tend to give off diacetyl that can result in a buttery or butterscotch taste that is usually not wanted in most styles. The three days should bring the beer down to FG.
After the 3 day rest, you would normally then bring it down to temps in the mid to low 30's for a month or longer to lager it in a secondary. You could try to do this with a cooler and ice water, but you would need to change it daily to keep it that cool. So you could bottle, at room temp, because it would take longer to carb at 50*, and let the bottles carb at room temp for a few weeks. Then you could store the bottles once carbed, in a fridge for a month or longer. The beer will further clear in the bottles, but chances are you will sediment in the bottle of the bottles that would have settled out during the lager stage in a carboy.