Oh, by all means, get yourself 3 hens. Well, build or buy them a coop, first. And a secure run (even if you decide you might want to let them free range, you'd need a run).
I FIRST considered 4, maybe 6 chickens for the fertilizer, knew I'd make pets out of them, and thought getting eggs too was a good benefit. I've since decided I'd keep chickens even if they never laid another egg for me. They're just incredibly quirky yard pets, each with its own personality and behavior traits.
I have 8 layers right now, a mature rooster, several juvenile chickens and two ducks. I usually get 6 chicken eggs a day in a variety of colors, and I sell some via word of mouth to people at work. (Some I give away - there are special people who aren't "customers.")
The biggest benefit has been the joy of an afternoon's observation of the flock dynamics. Happy chickens make the most calming sounds! Running chickens are just a hoot to watch - I cannot help but laugh to see this or that pullet tearing headlong across the yard towards something. Watching a chicken sun bathe - or dust bathe! - makes me smile. The rooster's posturing, or his courtship dance, or the way he keeps watch over his girls is simply adorable.
And the eggs ARE great.