For personal use by any person possessing a valid freshwater fishing license by the use of not more than one slat basket or one wire trap, made as specified in Rule 68A-23.003, FAC, and used only in those waters where use of wire traps or slat baskets is permitted for commercial purposes.
In Florida, it is perfectly legal to use live traps to capture squirrels. However, this only applies to non-native species and those designated as game. Otherwise, you will need a valid Florida Fish and Wildlife Conservation Commission (FWC) license to trap and relocate native squirrel species.
The Conibear is illegal to use in almost all of the lower 48 in the sizes big enough to kill a coyote or bobcat (size 220 or above). Like defoxer said - it kills indiscriminately so they are a danger to domestic animals.
Only 6 states have a full ban on conibear traps. California, Colorado, Florida, Massachusetts, Oklahoma, and Washington.
A furbearer trapping license ($26.50) is required: When taking or attempting to take furbearing animals using traps or snares. To sell the pelts to licensed fur dealers or meat of furbearing animals, whether taken by trap, snare or gun.
A furbearer trapping license is required of anyone, except residents aged 65 or older, to take or attempt to take furbearing animals with live traps, snares or other devices, and to sell the hide and/or meat regardless of method of take (gun, live traps or snares).
Only live traps and snares (including power snares) are allowed. Use of other types of traps (foothold, body-gripping, or dog-proof raccoon) is prohibited, except under FWC authorization. Live traps and snares must be checked every 24 hours.
Although relocating the squirrel is the easiest method, it may not be the most humane. Studies have shown that most squirrels relocated after being trapped die soon after their relocation because they are not familiar enough with the area to survive.