S.H.
For a first birthday, you might want to consider something like a community center or a pavilion at a local park (near a playground). Generally there's a lot of space and if you had it early in the day a park wouldn't be too hot. That way you can bring whatever you want, and bigger kids have space to run and play.
It's so easy for little kids to be overwhelmed by the attention and all the people at a party -- even if it's all family -- they can't really understand that it's for them! I bet if you have some helium balloons, and ice cream, that's all she really needs to make it a party. (At my kids' parties, they seem to have the best fun after most guests have left, and they can play with just a few people and the balloons.)
Pump It Up is really geared toward older kids (it's pretty obnoxious too), and the FW Museum of Science and History is closed now for re-building. Some friends have told me that The Science Place in Dallas is good for kids' parties, so you might check there if you really like that idea!
Have fun, whatever you decide to do -- and take tons of pictures to make the party last longer!