What's the intended use? Are you hiking in, car camping, canoeing, sledding? Do you plan on using it in the winter? I've always had good use out of MEC Tarn tents when I was a young lad. These days, I use a Mountain Hardwear Lightwedge for fair weather usage and a Mountain Hardwear Trango for winter usage. I had the Lightwedge for about 8 trouble-free years so far. The Trango is just a couple of years old.
Unless he or she has un-managed, razor sharp claws, I wouldn't worry about the pooch. It's never been a problem for anybody I know who brings their four-legged family members camping.
If you plan on going on an expedition or setting up a semi-permanent camp, then you could look at canvas tents. In the end, it depends on how you plan on using your shelter.