What type of Palm is this?
I believe you have a Queen Palm. You can learn more about it by reading a UF fact sheet written by Tim Broschat here: http://edis.ifas.ufl.edu/st609
I do not recommend you eat the fruit. Some fruit are toxic, many have high levels of alkaloids. The squirrels may like them, but they are not for human consumption. The date palm is one fruit that is edible...