What and where does the bible say about getting married and distancing yourself from your parents to bond with your spouse?
The closest thing the Bible says is that the man is to "leave his father and his mother, and shall cleave [stick like glue] unto his wife: and they shall be one flesh." (Genesis 2:24, quoted in Matthew 19:5, Mark 10:8, and Ephesians 5:31)
This does mean some distance between he and his parents, but it doesn't mean losing all contact with them. If he spends more time with his parents than his wife, then he would be wrong. But he can carry on normal relationships with his family.
It is interesting that you use the word "bond" because in the New Testament that is an almost literal translation of the word which the King James Version renders as "cleave." He is to bond to his wife like glue bonds two objects into one. Thus the man and wife are as one flesh, having been glued together by marriage.