Use the below search options to specify criteria you want to search for. The criteria is Inclusive, meaning you will only see results that match every option you select.
Note: Selecting multiple abilities, such "Armor Ignore", "Chivalry", "Conductive Blast", and "Feint", does not mean the listed pets can train all of those abilities at once.
Rather, it means those are all an option for the pet to train individually.
Detailed instructions, including a description of each search field, can be found here: New Feature: Pet Search