Great that you are considering carefully what you would enjoy / be able to manage before you dive in.
In the spirit of letting the animals do as much of 'the chores' as possible, having chickens on deep litter bedding underneath elevated rabbit enclosures creates a partnership that makes fantastic compost for you. Instead of thinking which one animal to begin with, it might be helpful to begin with this pairing. This is how my farm's rabbitry has been set up. Having the chickens turning the wood shavings (actually I use shredded cardboard most of the time) in the deep litter, continually mixing in the rabbit manure turns the potential of a smelly maintenance task for you of cleaning/removing manure into the benefit of compost you can use on your homestead. Joel Salatin says the clucking of the chickens seems to provide a good backdrop of sound that calms the rabbits.
There are classes Joel teaches about chickens / rabbits and this combination which he calls a 'Raken' house at his channel and website
https://www.youtube.com/@farmlikealunatic
https://www.farmlikealunatic.com/
and plenty of YouTube examples where people have implemented it in their own way.
Joel's Polyface Designs book gives a clear description of how to implement.
Good luck with the selection process for whatever you decide, and let us know how it goes!