Hi there, and welcome to ChickenPet! 

This page here outlines all the ways you can get more eggs!
I would definitely check out the Games tab, and be sure to feed your chickens every day for passive income! (You get an egg for each well-fed adult chicken at rollover every day!) Also, if you don't want to sell or release your existing chickens, why not try breeding them and selling or releasing the offspring instead? (Only if you're comfortable with the idea, of course! And be careful, lest ye get attached to the cute chickies too...)
and 1026

