Can I drop off my kids to play while I enjoy more that the city has to offer?

It depends on the age of the kids.

Anyone 15 and under requires an adult (18+) in the building at all times.

Anyone 16+ can be in the building, but needs to have a signed waiver by an adult (responsible party 18+).

If these conditions are met, then you go have fun, because the kids are going to have a blast!