Blended family question

Hi all, this is my first post here! My girlfriend and I have been dating for almost 2 years, we are absolutely in love, get along wonderfully, resolve (most of) our conflicts with ease, communicate great and I could not imagine a more amazing woman. Our only issue, and a big one that causes us conflict, is our boys. She has a 4 1/2 year old and I have a 7 1/2 year. We have both been married once before and our boys are from our previous marriages. We did not associcate our boys with each other the first year or so of our relationship, we wanted to see how we could be as a couple before we brought them together. Also, we do not live together but live within 10 minutes of each other. The two boys personalities are very different. My son is very outgoing, full of energy and stubborn. My son also makes friends with nearly every kid he comes into contact with. Her son is quiet, shy and very loving and nice and he gets his feelings hurt very easily. He idolizes my son and he loves to follow my son around and do what he does. My son loves Batman, the last time her son got new shoes he even insited on getting Batman shoes. Her son hugs my son and will tell him he loves him. However, my son is no where near as enamored with her son. He gets easily annoyed with her son and at times will bully him by taking toys, etc away from him. I have talked to my son extensively about being inclusive, respectful and treating her son how he wants to be treated. Things have improved but it's nowhere near where we would be able to consider moving in together or getting married. This was a long post, but it's a serious problem for us. If we can't figure this out our relationship will eventually end and that is not something that either my girlfriend or I want. My girlfriend and I can communicate about this so any help, ideas or suggestions would be GREATLY appreciated!

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