A chrome stick will work if you have an Apple OR an android phone. However, my experience with chrome stick connecting iPhone was not great.
My personal advice, if you like Apple, would be to set up your tv with an Apple TV and get an Apple phone.
If you want to use an android phone however, chrome stick will work, but I don’t know how well the two systems are integrated, as I find Apple simpler to set up and they have a great user experience. If you post more specifics, I or someone else here will be able to give you better advice 😉