Trying to determine if the IW is right for us

We dont intend to get another pup for a bit, but we are thinking heavily on what breed we may get. We really like the Irish Wolfhound, and my fiance has wanted one for a long time, but I have some concerns about our current lifestyle and if it would mesh.

1. We have 4 cats. Three of them are more assertive with dogs, but the other is shy and sometimes will throw some smacks or just sprint away. Ive heard some say that the breed sometimes doesnt do well with cats.

2. We have a 3yr old 35lbs Pitbull mix. She is friendly with other dogs, but she is very assertive and always insists on being top dog. I know IW are large dogs, but I have heard they are rather docile so Im hoping this won't clash. She will also be enrolled in training before we get another pet.

3. Im a small woman, and I have also read that they can be quite mouthy and rambunctious as pups. It poses concern in regards to my other pets and myself. Regardless of breed, the pup will be enrolled into training courses, but Im just trying to cover all bases.

Regardless, Im not concerned about activity levels, we walk our dog every day, take lake trips, and we've taken up hiking/trail walking. Im not too concerned about health issues, I work in animal med so Ive worked around the breed some.

TIA!