potty training update: week 1

Well we made it through the first week.  It's tough b/c DH and I are both working FT and DD is in daycare.  She had one perfect day without any accidents, and one god-awful day... the rest she still had accidents but averaged 2/day.  I've been keeping her in pull ups at night and during naps (I know a lot of you disagree), except she was in underwear for her nap today, stayed dry and she went in the potty when she woke up!  What's "odd" is that she appears to be potty trained with BM already, not pee... I know it's common to work the other way around.  And she seems to do better when I keep her naked at home - that's when she'll run to the bathroom to go.  Most of the time in underwear she will just pee in them and it doesn't seem to bother her... I thought maybe rubber training pants?  In any case, things seem to be moving along so we'll keep this going and see where it takes us.  Thanks for all of your advice and sggestions, please feel free to keep sharing!