Rabbits are MUCH easier to take care of and carry less problems like disease & parasites.
Chickens need a reasonable amount of exercise to be worth eating
(unless you like that soft, mushy meat and red/purple bones)
and that can be problematic, where a rabbit is content never to leave the hutch.
I have to agree, chickens give eggs, and for me, that is the deciding factor! I couldn't stand it if I didn't have eggs...
Rabbits are the PERFECT greenhouse or hydroponic garden companions!
They eat up clipping and waste, return fertilizer and carbon dioxide to the plants, and supply protein to your diet.
DO NOT add chicken droppings to the garden after the disking in the spring!
Chicken droppings get on food, or aren't disked in and ground produce comes in contact with them, you can contract a number of illnesses, Salmonella is the most prevalent and easiest to contract, but it could include E-coli also.
Rabbit droppings don't include anything that you can't wash off the plants or produce.
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Eris, for eggs to 'Reproduce' you need to have an active rooster, and roosters are a pain in the butt to deal with!
Crowing, aggression, and a tenancy to wonder off and get lost or killed.
Hens usually only 'Lay' actively for about 18 months, then they are 'Fryers'!