Need help with Madeira 9-day itinerary

Hi guys, I will be going to Madeira this upcoming June from 9th to the 20th.

We will be renting a car so transportation is no issue.

We are planning on staying only in Funchal throughout the duration of our trip, but I am also looking for other options mostly in the northern side of the island to stay at for at least a couple of nights for a different vibe.

I have places pinned down on where I want to go but I am having trouble connecting it so it fits in a day or I just need more activities to fill up our days.

I have Pico Hike, Sao Lourenco Hike, exploring Funchal city as its own day. Places such as Sao Vicente, the Fanal Forest and Cascata dos Anjos pinned down but I don't really know if that is worth the entire day to spend on.

We are looking for places to explore in the city of Funchal, any other cities we may have missed, and something nature related as well.

Any advice/help will be truly appreciated.