S.B.
I am a bit directionally challenged, so forgive me if I am sending you further from home...but Ridgemar Mall off Green Oaks in FW has a great toddler play area. It's all foam and meant to be climbed on. Go earlier in the day. When school is out, the bigger kids can take over a bit. That mall also has toddler sized tables at the food court. We used to go there for snack. My kids just got a kick out of having "their sized" tables.
There are lots of bounce house places...leapin' lizards, let's Jump and Pump it Up are a few in our area. Some have toddler play times specifically for kids under 5.
Also check with local churches. Some have some terrific indoor playgrounds. Our favorite is a little bit of a drive to Grapevine. It's Paradise Pond. You pay $1 per person. Inside they have a bounce house, playscape, kid rock wall, dress up center, car center, doctor/baby center, building center, doll house center, a kid powered merry go round and a push cars to ride. It's only open a few hours a few days a week, but it's great way to get out of the house. There are many other churches in the area with open play times. Some are free and some charge around $1.
The FW Science Museum has a great play area for kids. We are members there and have been for a few years. It's pretty reasonable for a membership. They have a pretend grocery store, pretend hospital, a baby play area, train track area and kid computers. Plus many of the exhibits there are geared towards children, they are meant to be touched, manipulated and climbed on (the Grossology exhibit has a digestion slide, the dino dig, oversized dinosaur puzzle, ride the horses and herd cattle, etc.).
Do a google search for "indoor play areas in FW". A ton will show up. Then you'll be able to pick in choose the stuff that is closest to you.