i thunk it should have some kinda search bar where we can type a specific gene combo in which to find our pets. see i have got soo namy pets now and its hard for mw to remember who has what. whereas if it had a search bar i can type in what specifically im looking for and the list of pets would show. You guys understand what i mean right?

Well, there IS a search function in the game (right underneath the Help tab of the top menu). If you have premium membership you can search pets for their genes just like you can in the trades or when breeding pets. However, this only searches ALL pets on the site and there is no way to select just your pets (as far as i know), so yes, I do support this. I think it should be possible for us to search within our own stable with the Search function or with a special search bar, I don't care which. 

I'm just wondering if this should be a Premium feature or not. It might make Premium again a bit more interesting to get. 

I'm fine with needing a premium membership to search all pets but you shouldn't need it to search your own pets.