Detachment is not about breaking relationships. Detachment is about setting the relationships right.
When you are detached from someone, you gain the freedom to actively help that person. Detachment is not about passive observation, kindly get over that concept. Detachment does not mean that now you have nothing to do with the person you are detached from. Detachment rather means that now your love is free to act rightly. In attachment, how will you act rightly? VERY DIFFICULT.
Love and right action go together. Therefore, there is no love in attachment.
Attachment means the other person is now going to act almost as a parasite or a possessor.
Detachment and love go together. Infact you cannot have love without Detachment. If you find that you have love accompanied by attachments, then your love is very polluted.
Love is when you do not care about your self interest and your objective is the welfare of the other.
Attachment is when you cling to the other for your own sake. Now can love and attachment go together??
So stay detached, stay loving and act fully, act rightly.