Good luck! Should be a lot quieter than usual, or at least nowhere near as bad as it's been these last few weeks. I've lost count of how many hours I've spent stuck in central london
I've been driving round central London quite a bit today and it's really quiet. Last year we drove into Piccadilly on Christmas eve to have dinner and it was deserted so I'd say you definitely be ok. Don't forget the congestion charge if you come into the zone before 6 though.