I had both my boys there. You definitely do not need to take your own nappies. They should give you a list of what you need at your pre-admission appointment.

One thing to keep in mind about the Wesley is that they are not particularly bfing friendly. If you are having any problems you would be best off getting a private Lactation Consultant or seeking help from the ABA rather than the Wesley staff. I think it helps to know this up front - I didn't and had all sorts of problems. I was lucky I found the help I needed after I went home.