Awoo to you too! I'll tell you all of them. In the future all of the info like that will be unlockable in Gallery > Characters > Bio, once I get to implementing that :D
Burry - Saint Bernard
Rune - Siberian Husky
Max - Dachshund
Thistle - Australian Cattle Dog
Cooper - Caucasian Shepherd
Teak - Tosa Inu
Alon - a lone Wolf