M.L.
Hi Jen! There are lots of things to do in Miami! Near downtown, you can go over to Key Biscayne and take her to a a few different beaches they have there. They have Crandon Beach, Virginia Key, and Bill Baggs (way at the end). There is a new waterpark for the little ones (of the the 836/dolphin expressway and 37th Ave) called Grapeland. It is free for kids under 2 or 3 and adults are like 7 dollars or so. Wednesdays are free (I wouldn't go that day).
There is a new indoor restaurant/play gym for parents and kids called Cool de Sac at a mall called Sunset Place. This is on U.S.1 and sw 57th Ave (Red Rd). The place is 6 bucks or so to get it and your daughter can play while you grab a bite. Or you can play with her. Very cute place!!
Another indoor activity is the Miami Children's Museum which is on the way to Miami Beach. And across the street from the musuem is Parrot Jungle Island (outdoors). Another place on Key Biscayne is the Seaquarium.
And you can always go over to Miami Beach to experience that beach. I don't like it as much for kids.
Another fun place I like is called Pinecrest Gardens. It is is in an area called Pincrest. They have a splash and play there, a petting zoo, a playground, and it is very pretty.
Miami also has lots of little parks around. I just think it is so hot though and I prefer to be inside or by water.
I don't know of too much to do downtown with your daughter. YOu can go to Bayside mall but, be careful there. I almost got my purse stolen there.
I hope this helped a little!!!! If you want more info let me know but, I have a feeling you will get a bunch of responses.
Best of Luck,
M.