Coonhounds chase cats, and may kill them. I don't recommend combining the two unless you are prepared to watch constantly, until the hound understands that kitties are off-limits. I also suspect that, if my cats were not kept indoors at all times, the dogs would have killed them. We train them to accept cats as part of the the pack. They are easily housebroken by the crate-training method, and much, much more difficult to housebreak by any other method.
Coonhounds grow at normal speed, but are very slow-maturing.
Mine catch more mice than my cats. They are usually very good with children, even toddlers. Coonhounds love children, usually, and can make wonderful companions for lonely ones. They are very affectionate, and can take all the petting you can dish out. They like to be talked to.