So many ways!
Easiest is to preserve whole figs in syrup. Jams/Jelly is easy enough. Just remember to have LOW water activity (Aw) and low pH below 3.8 for safety. Sugar and salt both bind up water to preserve and keep water activity safe. I've been using Agar and a dehydrator with great results making gummy food.
Figs are a good base fruit but adding raspberry, mulberry, orange, or other fruit for character has had the best results.
Review "Acid Foods Manufacturing" for best advice.