Foggy, you are doing great! You are aware of what your needs are and you are able to understand them rationally too. You also already know what went wrong. Trying to figure that out is the most difficult part of a breakup.
I would suggest what you are already doing. Keep meeting people, especially those who you wouldn't want to share this with (and obviously your friends who will help you get over it). Those people will put you in a different mood, you won't even think about it when you're with people you would rather not share it with (acquaintances, new people). Try to keep a healthy schedule of activities and set goals. Set big enough goals so that they encompass you and you don't think about the breakup that much. If you find yourself getting distracted by the thoughts, take some time to mull them over and then get back to what you were doing.
Also, allow yourself time to grieve, which you are already doing. You should be proud of yourself for taking this so well!
Remind yourself why you love yourself and why other people in your life love you.
Good thing is, it will be over soon and you will be MUCH, MUCH better
.
Good luck and I really hope you feel better.