Thanks Minbari.
I was wondering why Kolsch is lagered at all, to be honest. Especially as the yeast I used (Omega Kolsch II OYL-044) has a recommended range of 18-21C. I've always assumed the off-flavours in lager that require lagering were a result of the lower temps the yeast operate at.
Even though a Kolsch is technically an ale, it benefits from a cold lager. Off flavors are not eliminated or even reduced by lagering in either an ale or lager. A bad beer remains a bad beer even after lagering.
The benefits of lagering are that the beer will drop the yeast, drop a lot of the polyphenols, reduce any sulfur compounds and clear. The clearing of the beer is more than aesthetic, it actually improves overall flavor. The yeast can have a flavor of it's own, even in small quantities. The proteins and polyphenols (tannins) bond with each other at colder temperatures to create chill haze. It's a type of haze that clears when the beer is warm. These polyphenols can add a harness to the beer, so dropping them is beneficial to the beer.
The other thing that happens during lagering is that the flavors "mature" and meld, the bitterness often becomes smoother. A bad beer that is lagered will improve slightly, but any off flavors usually persist. A good beer that is lagered gets even better when lagered.
I don't transfer the beer from the fermenter during lagering until it's almost clear, usually 2 weeks. Then I transfer to a keg and finish the lagering in the keg (the beer is fully carbonated), typically 4 weeks total lagering time. The problem with transferring beer from vessel to vessel is that you risk exposes the beer to oxygen. Oxygen will take a great beer and turn it into a dumper in a matter of days, so be careful with post fermentation oxygen exposure.
If you can, crash the beer under some co2 pressure to avoid getting "suck back" during the cooling of the beer. As the beer cools, the co2 in the fermenter goes into solution causing the airlock to suck in some air. The other thing you may read about lagering is that you should cool the beer slowly. I don't do that, I try to drop the temperature as fast as I can. This causes the yeast to drop quickly to clear the beer faster. The other reason to do this is to help clarifiers (gelatin, Biofine, etc.) work better at near freezing temperatures.
Sorry to be so long winded, but I brew a lot lagers and they just get better after lagering. It's worth the wait.