Camping + guns-legal?

i live in ny state + plan on taking my wife + son camping in a few weeks. i'm also an avid licensed hunter. the property we'll be camping on is infested w/bear + coyotes. i don't plan on hunting these animals b/c hunting season is closed. but,am i allowed to keep a shotgun or rifle in the tent w/me to protect us from these potentially dangerous + wild animals? i don't feel like going to jail for protecting my family from a raging bear or a pack of coyotes. please help