Hector is the handyman in the Village of Fowl Devotees appearing in the seventh book, The Vile Village. While the entire village could be considered the guardian of the Baudelaires, Hector is the one who shelters and cares for them.
You can add as many animals as you like in as many breeds as you like. The only rule is do NOT be weird about "spirit animals;" see here for more info: https://www.wellandgood.com/spirit-animal-native-american/