It's somewhat luck of the draw when it comes to spraying (peeing) ... most cats I have known have not done that. Neutering is a good first step to prevent that, as Toms (intact males) are very prone to spray. Spraying is mostly territorial toward other cats ... I don't think the dogs will inspire the cat to spray. Sometimes if you own a cat, and then introduce a new dog to the household, the cat might respond with spraying, but I doubt he/she would do so when entering a household with dogs. From my observations, cats generally take better to dogs than they do to other cats!

As far as personality, you never know what you're going to get. My family has had all sorts of cats. My cat is a gem ... very friendly, greets me at the door with enthusiasm whenever I get home, constantly wants to play or cuddle. Some cats will ignore you completely. Either way, I think they make great pets and bring something unique to a household. If you want a more dog-like cat, there are definitely some breeds that may bring you that (siamese, burmese, tonkinese come to mind). Ragdolls are very friendly and BIG. Personally I'd go to a shelter and look ... you'll know right away when you find the right cat for you ... like picking out a dog ... they pick out you.

__________________
1987 300D, arctic white/palomino--314,000 miles
1978 240D 4-speed, Euro Delivery, light ivory/bamboo--370,000 miles
2005 Jeep Liberty CRD Limited, light khaki/slate--140,000 miles
2018 Chevy Cruze diesel, 6-speed manual, satin steel metallic/kalahari--19,000 miles
1982 Peugeot 505 diesel, 4-speed manual, blue/blue, 130,000 miles
1995 S320, black/parchment--34,000 miles (Dad's car)