Those little coops are only good for one or maybe two birds. The interior space is only 6ish square feet. Good rule of thumb when you're starting out is 4 square feet per bird inside and 10 square feet per bird outside. Those numbers can flex some, but it's a good starting point.
If you coop is going to be in the kennel, I'd cut down the number of hens some. You don't have a location, so I can't advise on what type of coop you'll need, if any. Coops are for keeping birds dry, out of the wind, and free from predators. Not everyone needs one, especially in temperate climates.