Cornell Cooperative Extension has a page about living in extreme heat , which includes a spreadsheet of all Tompkins County cooling centers with parking information, centers that accept pets, and other accessibility data. Here is a link to the spreadsheet: TC Cooling Center Info (updated June 30)
Extreme heat is no joke. Prepare yourself by knowing how to recognize the signs of heat-related illnesses (like heat stroke and heat exhaustion), staying hydrated, and watching out for others around you.