L.I.
I second Adventure Kids Playcare for drop in day or night or weekend care. they are awesome! My daughter loves going there. They are closed on sundays though. They have several locations. http://www.adventurekidsplaycare.com
To find a playgroup or group of moms with your interests in your area check out http://www.meetup.com, they have tons of groups and tons of people just like you looking to connect!