I do both! If done correctly from the beginning, setting up for both doesn't make any bigger of a footprint on your land than setting up for one or the other by itself. Rabbit hutches can hang from a PVC or metal frame, and chickens walk on the ground underneath.
I like chickens because I like eggs. And then when a chicken gets old you can eat it.
I like rabbits because you don't need any special equipment to get babies. (No need for an incubator, for instance.)
Sure there are exceptions for that. Some chickens go broody all the time, eliminating the need for an incubator or heat lamps. Some rabbits resist being bred at certain times. Roosters can have bad attitudes. Some rabbits scrach like their lives depend on it.
Both have droppings good for compost. Both are fairly easy to care for. Both can attract rodents if you're not careful with food storage. Both can be at the mercy of predators if you don't reinforce their cages/hutches/coops/runs. Both can catch diseases and occasionally need doctored or humanely euthanized. If you have the right kinds of outlets, roosters give feathers that can be sold, and rabbits give pelts that can be sold. I find it takes about the same amount of time to butcher and process, although "easier" is a really personal opinion.
For housing, chickens live all together in one large(ish) coop and run. Rabbits live individually in hutches, unless you want to invest in a very large area with a concrete floor and try colony-style. So housing can be different, and the cost and dimensions should be taken into consideration.
I hope that helps! If you are trying to maximize the amount of food you can raise in a small area, I do highly recommend doing both.