Disclaimer: I have released two albums so far, whose sales figures are in the sub-zero range, and that already includes one copy of each I bought myself.
Maybe it would be best if you did the exact opposite of what I do.
Anyway...

- The best/most catchy song first: If a listener stops listening after 30 seconds because it's not her thing, it doesn't matter that a number one hit follows that would sell millions if someone listened that long.
- Create a DAW project with all finished songs in a row and listen to the whole thing.
  • Does the feeling/mood/vibes/whatever changes between songs pleases you?
  • Are there two very similar songs right after each other, and are you bored listening to them one after the other?
  • Are there songs that create a natural transition? After a slow or quiet song, a song that starts slowly but builds toward the end would be a good transition to a louder song.
  • Listen while walking the dog, while driving to visit your beloved mother in law, while you have a dump, while... well, no, better not while having sex.
    When you are in different moods, your judgment may also change.
  • Are there connections between the lyrics of the songs? Does one song depend on the knowledge of another?


TL;DR: My general approach (both for individual songs and complete albums) is to listen until nothing annoys me anymore. Do what YOU like best.