A comma will not do! The sentence is missing a word. I suspect the proper word would be "for". It should read, "I like cooking "for" my family and my pets." The poster, as it is, is not a good advertising venue for the company or the school.
Humorous collection of uninspiring quote posters createed by scottish illustrator, Linzie Hunter. She called them ‘uninspiring posters’. Actually it’s the complete opposite – they are inspiring, but the message they convey is categorically not inspiring.