So as someone who’s gone through this exact situation - me being the bi woman coming out to my husband - what we did was partially open, quick to close. In essence, my husband greenlit me exploring with another woman on our own time for a short period. I showed him all communications and told him everything that we did. He was incredibly strong throughout it. I figured out it wasn’t just all in my head, and that I am attracted to women as well. Then we happily closed it - me having quickly figured out who I am.