Hi R. ;-)
It becomes easier when you realize you are talking about two different things. The first is the emotion of anger and the behavior of another that triggered it, and the second is the feeling of LOVE, which is what you hold for your boyfriend/kids in your heart. One is more fleeting and 'in the moment' and the other is permanent.
Anger is a natural emotion the body uses to "move things".. so be IN the moment and experience it.. then let it go, which is what it seems your boyfriend is doing. It is more difficult to work through a situation when the emotion is dominating.
You have probably heard of the old saying "let me sleep on it".. and it is an actual truth! When we put our conscious mind to rest, the sub conscious and sub sub conscious mind can then look at the "whole picture" and see the solutions.. hence often we wake up and just "know" what to do or feel better about a situation.
I might suggest that you allow yourself to deal with the situation as you choose, since I am no one to judge if your way is appropriate or not.. BUT.. along with that, perhaps look at the whole situation and separate it: You're unhappy (angry) about some behavior, BUT, at your heart level, you still love your boyfriend. So when he wants to "sleep on it".. you can acknowledge that, AND acknowledge that you are still angry about the situation, but aside from that situation, you still love him, so can honor that favorite thing in the world of telling your boyfriend/kids "I love you" when you go to sleep. This honors your feelings that you are angry at the action but also honors your feelings of LOVE!
Just giving yourself this new option and then going to sleep may begin to change the whole energy around it.. lets see!
hugs,
A. R.N., Energy Medicine Practitioner