Im getting a Roxy leather bag for $80 then you can buy the organisers which turn any bag into a nappy bag, IMO roxy, billabong and the likes are always good quality.
I had 2 roxy purses die on me. First zipper bust in 2 months and I make sure I don't keep too many coins in it. Second the stitching went in 3 months.

My MIL got me a cheap nappy bag which is irritating with all the different compartments and cheap zips that jam. I wouldn't have picked it personally. i just use a dangerfield cross body bag but one that was free with a purchase. I never carry much anyway.