Good luck with the recovery Mark. As others have said you need to be careful, but in my opinion unless the operation has changed your running gait (unlikely) then you should be ok as long as you don't try to 'run before you can walk'.
The knee will need to support you as your running improves again and I would have thought if your normal shoe type is cushioned I would continue that way. Using a shoe with too much support may cause other problems!
I use Asics Gel Nimbus (currently 14 but the series for some time) and they are fantastic. I think the current shoe is the lightest and best they've ever made. Have, from time to time, tried other brands but always come back to what has worked for me.
Finally, I'd get over to a specialist running shop for gait analysis to make sure you are in the right shoe. Alternatively, an email to RW might find you some advice from someone who really knows what they are talking about! Good luck!