It's good that you seem to feel you know where you stand and what you want.
It is good that you feel your in the process to detach, 3 months is very short time, however, try to sort by making sure you have more parenting with your children, work on yourself, take Onguard's advise and everyone's opinion and just as you said move slowly and there is no right or wrong, is about you building your low self esteem and being a parent for your children.
I think the overall experience is you are strong, experienced, and above all, you are wiser as you can now pay attention to women (your wife) how and when she communicates you listen and respect and reflect accordingly just as mentioned going to school to get educated in relationship.
