To get the links to your playlists, go the playlists you want easy access to and click the three dots button on the top right.
Click the share button and click copy link and open it in Safari. Save the bookmark to your home screen.
Once you've added all your links to your home screen, you can drop them in a folder and you'll always have easy access to them. It's not the best way, but I've found that it makes it easy to access my favorite playlists.