You have great taste in vampires.
I implemented some vampire romance guides at the end to help you kiss them all, but for Martin in particular: choose 'correct' and sensible choices when you first meet, tell them about the Strange Woman, spend Elysium with them, do all the disciplines, and pick the classic Embrace format. That should get you there.
There are a number of secret endings! Some now have different music!
Whether or not you eat the eggs is the most important choice you make in the entire game. But no, it changes nothing mechanically.