Lubbock's rules are actually pretty friendly when it comes to owning chickens. Yes, you can have them in your backyard, but there are a couple of rules you've got to follow. Under the current city animal ordinance, you can have up to 6 hens in certain residential zoning districts without having to get a multipet permit. If your dream backyard includes 6 hens, happily producing eggs, then you're good to go. You may also want to check for any deed restrictions or rules in your neighborhood that could apply.