Hi time01, I too am going through my first lagering process so I can only have a go at your questions based on what I've read.
Lager in the a purged keg - Don't see why not, this is a good way of doing it I'm lead to believe.
Length to leave it - Not sure but I would think that it could depend on the style of beer. I see 4 and 6 weeks said a fair bit so if you don't get any other replies, maybe use these periods as a guide.
Temperature - I've always thought that it's good to leave if as cold as you can (without freezing it!). However if you don't have the ability to provide fine temperature control on your fridge, normal fridge temps would be fine.l
Now, I have a couple of questions;
This weekend I was planning on racking a brew off the yeast cake and lagering for the first time ever. However, reading this thread has has got me thinking that I might not be able to do this very well with the equipment I currently have.
I've got 12L of beer for lagering and no kegs therefore I can't purge air etc. I was planning to rack the beer off the yeast and into another vessel and go another 3 - 4 weeks at low temps before bottling. However, with the amount of airspace the beer will be in contact with, would it be better (in my case) to lager in the bottles?
You may wonder why I'm lagering when I don't really have the right gear etc, but the beer is a Dusseldorf Alt and I didn't know that this ale it should be treated like a lager until after I brewed it.