Home Instance cats
None of the above
They don’t go anywhere.
They continue to eat the food you bring them.
The only one that can be specifically identified at a glance is the Ranger, cause it has a frog
|Daredevil|Ranger|Guardian|Scrapper|Necromancer|Berserker|Dragonhunter|Mesmer|Elementalist
|Deadeye|Warrior|Herald|Daredevil|Reaper|Spellbreaker
There is no checklist, but the cats are in groups so you can count them and check some off your list. This wiki page has the cats divided into their respective groups. Some cats are unique(the one with a frog, the snow leopard cub etc.) and will be easy to check off. I don’t think you will be able to tell with the grey cats though because once you have one a dead bird and grey cat appear at the home instance entrance. As i understand it, it will always be one grey cat no matter how many grey cats are collected.
https://wiki.guildwars2.com/wiki/Hungry_cat_scavenger_hunt
Good luck!