Are there iOS apps for taking notes with Apple Pencil in color, grid, and with pages to print? I am searching for an app, in which I can take notes during lectures. To be more specific I would like to find an app which extends the default notes app in the following ways:

Creating a color palette (eg. I would like to have darker colors, but it seems like I can only pick one color at a time)
Changing grid size (I would like to make the grid a bit smaller, so it fits my handwriting better)
Option for pages (Ideally I would like to be able to print my notes, but the $\infty$-paper cuts my handwriting in half)

Other features (like pdf annotation, text recognition etc.) are not important for my use case. The recommended apps I was able to test (Notes, INKredible, Nebo, Sketches, Paper, Quicknotes) didn’t fulfill these requirements. Due to cost I could not test Goodnotes or Notepad+.
I hope there is an app satisfying my needs, to specially to vouch for a paid app if that’s the only fit for my requirements.
Can any app do some or all of my requirements?
Notability is the app you want to use but it is $8.99. There is also a version for Macs as well. This allows multiple colors and it opens with a large page to write on. I can't vouch for it because I use Notes but Notability is a popular app. You can read about it at the link I included.
There is a free app called Notes Writer which you could check out since it's free.