I missed this thread earlier... when my kids were little we went to the library every week, so that was a big (and free!) event for them. Also gave us new books to read each week so we weren't stuck in a rut. They have a program at our library where your kid can read to a dog now... wish they had that when mine were small!

It costs something, but is there a community center with a pool where you could take her a couple of times a month? Sounds like your weather is beastly hot.

Regarding the housework, haven't seen anyone mention Flylady. But her website has some pretty great motivators and 'baby steps' toward organizing you house and life. I get the daily emails all bundled into one, then just read the one about today's flight plan. It is usually just one 15 minute chore a day, and some tips on keeping on top of laundry, dishes, cooking, etc. I don't do everything she suggests all the time, but she has added some sanity to our lives.