This is one of the most complex issues facing Orthodoxy in the diaspora, i.e. America (sorry OCA, we remain a dispersed people from nations in which Orthodoxy is the norm; Greece, Ukraine, Russia, Roumania, Serbia, Bulgaria, Cypress). To be at all helpful to your inquiry, you should tell us, generally what brought you to Orthodoxy. The "mixed" marriage families are confronted with difficulties. You should also seek the guidance of your soon to be Orthodox Spiritual Father. It's likely you'll be proceeding alone and may wish to consider attending Mass (not communing) with your family, at least transitionally. There are lots of issues that will confront you throughout the time you do not share a common faith with your family.
I recall one Holy Week, during which the Julian and Gregorian Calendars coincided. The weather that week was generally good, yet, attendance at our (a comparatively large Orthodox parish) parish was somewhat light; it wasn't jammed as usual. We had determined that the "mixed" marriages probably celebrated with the part of the family that is affiliated with Western Christendom. Being in Western society, which doesn't really even know of Orthodoxy, let alone accommodate it culturally, is primarily what has made many clergy "modernize" traditional practices. Traditionalist Orthodox clergy, do not factor this variable into their criticism or do not care to concern themselves with it. I also, in this context, recall my long term parish priest, being disturbed with our young, newly ordained assistant priest, whose sermons tended to emphasize the errors of Roman Catholicism and protestants, because the senior priest pointed out, he was condemning family members of our faithful. Children were asking Church School Instructors, whether their grandparents would be separated from the Kingdom of God.
Not that I have many answers, more info. about your planned conversion would help for some advice.