Thinking of getting a cat, do you feel we have the right situation for one?

I think it's really based on your budget. Cat litter can range anywhere from a couple bucks to about $40 last time I checked. Coupons are great things. ;) As long as your child and your dogs are good with cats and someone will be able to give it at least the minimum amount of attention that it needs (vet care, feeding/watering, basic grooming, etc) you should be able to get one. Look for a cat, since you won't have a lot of time to devote to socialization. Make sure it's good with children and dogs (preferably in that order) and look at it's grooming needs. Short hairs are great, but they can shed a lot. Also, look at the breed or it's crosses. Cats with smashed in faces tend to have respiratory issues, while some cats can be diabetic, which is even more work. I hope this is some help to you!