Tons of resources here:
http://www.cityofrehoboth.com/
DD could spend DAYS on the boardwalk (fun land, pizza, ice cream, etc). We go for a week each summer and love it.
Also, Cape Henlopen State park has a fun (small) nature center and gift shop. You can also borrow (not rent) bikes for the family to tour the park.
http://www.destateparks.com/park/cape-henlopen/nature-center.asp