I love La Quinta hotels.
The Anaheim one I do love except for the fact that parking is valet. I usually stay down the road about 20 minutes at the Costa Mesa one because of the parking situation being easier, but I've stayed at the Anaheim one a couple times. I do feel that the Anaheim location is superior in visual appearance of the rooms, though, and I prefer their waffles. It's an easy walk to the parks too. Only about a mile.
They are definitely pet friendly. I have found that I have to call each individual property because they all interpret the rules differently. The Anaheim location (as mentioned) does allow pets to remain in the room unsupervised. They also allow cats (not all places with a pet policy allow cats).
My only concern would be if you have a pet allergy at all. I'm honestly not sure how well they clean between guests. My cat sure is interested in smells in the rooms, though.
Overall, though, I find that particular location adequate to my needs. But all I need is a safe, clean place to sleep where my cat is welcome, lol!