I should add that the wood flooring would be for the living room, dining room and upstairs. We plan on using tile for the kitchen, bathrooms and entry areas.

Recipe for disaster. Read the manufacturer's installation instructions instead of relying on a salesman. You need engineered, and something with a real finish. And keep your dogs nails clipped weekly.

Thanks Hollysprings, I suspected it might be a bad idea. The manufacturers installation instructions state that the floor is warranted for installation over in floor radiant heat providing their instructions are followed but I was still nervous. What do you consider a real finish? I know scratches can't be avoided with dogs but some of the samples we've looked at leave white marks where scratched which are super noticeable. Do you know if that is more likely with certain finishes?

Here is a link that might be useful: Ancestral Pre-oiled Flooring Installation Guide

Some engineered flooring is not suitable over hydronic heating. Same for solid hardwood.

That's why you must read the manufacturer's instructions and make sure the installer follows them to a T.

Here is a link that might be useful: This Old House Norm Abrams answers a question on flooring

Thank you for the link and your advice Worthy. I guess I am worried that even with following the recommended installation procedures this combination might not be a good idea. I was hoping there might be someone out there with experience with this combination of flooring and heating system in their home that could tell me if they had any issues. Or even just with pre-oiled flooring and pets/kids. Maybe I will try cross posting in the flooring forum. Thank you both again!