My ex's cousin brought them to a party one time for an appetizer- she took out the seed and added some cream cheese. I thought they were pretty good. But not everyone wanted to try them just for the simple fact that it was a fig.
I think once the tree is big enough, you will find your chickens enjoying the shade. We have several (also in SoCal) and I can not remember ever seeing a bug on them?
You can make some yummy jelly and sauces with them. Fresh, I usually just wash and hold the stem while I eat the rest of the fig.
Figs are really soft when they are ripe. Some varieties split when they are ripe. Some varieties get a drop of honey down at the small hole on the bottom. Some of them look past their sell-by date before they are ripe. Be patient and wait until they are fully ripe. Unripe figs aren't so great.
I just give them a light rinse and eat them whole. Or you can split them and just eat the inside. There are lots of things that they can be cooked into.
Be careful to not get the sap into your eyes.
The fruit will be on one year old wood. Most figs grow 2 crops of figs and the early crop (the breba crop) is usually inferior to the later crop.
We've got a fig tree at the bottom of the garden. You don't need to worry about the chickens, most of the fruit is too high off the ground for them to reach.
Figs are GREAT. Late summer is one of our favourite times of the year, when we can go around and pull grapes, figs and loquats off all our trees.
We have two mature trees, and my wife would kill anyone who harmed them. Wait until they are ripe and eat them... simple as that. I'm not a fig nut, but I eat a few. They make excellent preserves too.