Dryability is my main criteria. i go for pockets or snap-ins (i think they are Ai2s).

i like itti bitti snap ins, but don't really like the tutto and can't see it working nicely on a newborn.

i have a different set of nappies (fitted + cover or prefold + cover) for newborn age til bub fits a medium nappy. then i use mainly sized pockets or Ai2s.