Rabbits can get fleas. Topical flea treatments intended for dogs can be fatal for rabbits, since they groom so much with licking. Cat spot on treatments are much safer and very effective. DO NOT USE ANY FRONTLINE PRODUCT ON A RABBIT.
I compromise between cage and colony. My breeding stock is kept in cages, mostly for population control, easier handling of kits from the start and to protect from predators. Once weaned, kits are raised in tractors as a colony till they are ready for processing.
Lots of people just don't realize that you need to look in the farm & garden section, or don't know how to use the search feature.
We love rabbit here too. Can't breed them fast enough with just two does. Why I held back a couple does from the Christmas litter for breeding. Just had 12 kits...
LOADS of craigslist adds in your area for meat breed rabbits. Mostly New Zealand and New Zealand mixes.
https://oklahomacity.craigslist.org/grd/d/white-rabbits/6223700143.html
Look like they are New Zealand mixes
https://oklahomacity.craigslist.org/grd/d/rabbits-and-hutch/6230357899.html
If you...
They will be fine in her cage for about 4 to 5 weeks. By then, the kits should be weaned, and you can put kits in the larger cage. Kits don't really start leaving the nest box till they are about 3 to 4 weeks old.
Just keep that bare dirt watered in the spring, and watch what springs up. It will be much healthier for rabbits than sod. Sod is usually only one type of grass, and not a very good feed option. Pasture is more than just grass. It's all sorts of grasses, weeds, dandelions, and clovers.
Mine get unlimited alfalfa/orchard blend hay and pellets, while with their mother. Then they move out to a pasture tractor. Outside, they eat pasture and get pellets twice a day. The tractor gets moved two or three times a day. It takes a bit longer for them to reach processing weight, but it's...