Maybe you can bake a small batch of cookies as your gift? You can put them in a basket or tin, bow on top & voila! People love homemade cookies!
For sharing something special about yourself, that is tough. I would share something about my personality that is kind of cool. {Like, I have a passion for educating general public about epilepsy & I've adopted a highway to bring that up in people's minds.} We all have some emotional passion, and that's a special thing to share about yourself. Maybe educating others about mental illness? Or being there for those who have been through similar difficulties in their lives?
Just some ideas for you to think about...