FFC (Fitness First Club) in Oak Park is wonderful, although we also have to buy "kid memberships" in order to use the free childcare room and for the kids to be able to join us on Sat. for swim time and rock climbing. They have many locations all over Chicagoland. It is clean and the ratio of kids to adults appears adequate. Plus, you can watch the kids via the TV's attached to the steppers and treadmills on a closed circuit TV programmed for channel 25 which helps calm my nerves about leaving the kids in a daycare situation (not my norm!) Good luck and congrats on the newest arrival!! The childcare is open each day and I don't believe they limit you, other than you can't stay more than 3 hours in one single day.
P.S. I used to belong to the YMCA on Irving Park, but my kids refused to go into childcare there, because "It smells really stinky, like wet socks" in the play structure. It did smell very musty. But, the staff always seemed kind and attentive enough. You had to buy a punch card to use the childcare. I bought a $20 card, but they only went twice, so I lost out. Single visits were $3 per child, so that might add up if you have 3 little ones!