I'm not a fan of lagering in the primary- a couple of months on a yeast cake for a lager is not ideal in my opinion. But you didn't ask about that- so I'll shut up!
You don't have to pitch the same (expensive) lager yeast. You can just add about 1/4 package of dry yeast, like Nottingham or S05. The minute about of fermentation that will take place in the bottle to carbonate won't affect the flavor profile at all.
I'd dissolve the priming sugar into some boiling water, and then cool it. Add it to your bottling bucket, and stir in the small amount of yeast. It'll get a little bubbly, and then just rack your beer into it and bottle as usual.
Broken Leg Brewery
Giving beer a leg to stand on since 2006