Are cookies only suitable for use on the client side?

I want to save some non-confidential data in the user's browser (or any device / mobile browser) for the next session. I can save this in cookies, but I do not want to send this cookie to any server requests.

I just need to store and retrieve about 5 key-value pairs, only on the client side. Is a cookie a good fit for this purpose or should I consider local storage? Cross-browser support is very important.