I have 3 cats that range in age from 8 to 2 years old and they tolerate my yorkie pup very well, however they have been around dogs since Ive had them. My 2 and 3 year old cat play alot with Tucker the older one tolerates him and when she's had a enough she thumps him on the head and he gets the hint and leavs her alone.
I think that they will get along just fine.