Scott,I tried my 3 cats on Felidae and many others until I found one they liked.
Cats can literally starve themselves sick,so be careful,they have to eat.
My cats get canned food twice a day(split a small can 3-ways),so chances are they would not starve,but if you feed only dry,IMO not recommended because of UTI etc..it has to be something they like.
They are not really fussy,not anymore than you or I if we don't like our food
I would get sample-packages at your pet-food store,before I get any big bag of anything.