Opening the relationship

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So as I'm completely new to this i could use some prospective. My significant other has come out to me as bi(man). I'm ok with this and we have had many discussions and one terrible attempt at making that experience happen for him. We have discussed our boundaries, wants, and type. The real issue is approach as we both wish to keep this private. I have dating profiles that say enm and I'm blunt so I do make sure I tell them this is what I'm looking for. Any suggestions would be great thank you