T.N.
Check out Arizonamama.com or try to check out the book The Arizona Mama's Handbook at the library. It's a great resource and full of activities. I live in Gilbert at Higley and Pecos, so if you live close, you can come look at my book for many ideas.
The weather is so nice this time of year, that the park might be fun. Freestone has a lake and ducks and train ride, ferris wheel, etc. The new mall on Williamsfield and Greenfield has an outdoor play area. Try "Hangar Cafe" off Germann and Mcqueen rd. It's right up close to the airplanes at a small airfield as they land and takeoff and has good breakfast. Way 2 Play Cafe is fun. I recently went on an easy hike at Haws trail. It was very easy and my 2 yr old LOVED it. Family Fun Van in Mesa is held outdoors. It's free and starts with free play with toys that they provide, then snack time, song/dance time, storytime, and they make a craft and give the kids a book. It's at a different place every day of the week, but every monday it's held at the same place and so on, if that makes sense. Here's the link for more info: http://www.mesaunitedway.org/index.php?pr=Family_Fun_Van
Bounce U on Warner and Gilbert is a BLAST for all of us, even my husband. I like to take my son to library story time. My kids love something as simple as Mcdonalds or Chick-FIl-A, and Peter Piper pizza has a large play area (the one on alma school does anyways) and an all-you-can-eat buffet for pretty cheap and kids 2 and under are free.