Hi @rolenzgaid, welcome to the Spotify Community!
Keep in mind that if you upgrade your subscription from regular Premium to Premium for Family, your payment date will likely be a few days earlier than it had been.
This is because of the difference between the price of Premium for Family and the regular Premium subscription you were on. You can track all this on your Subscription page. No worries, your previous subscription was canceled.
Let us know if you have more questions 🙂