Would you tell your parents everything?
Great that you have come to get some support on what I can hear is a situation that you are "expecting" your parents to receive negatively.
Can I suggest to you that your thoughts on how this will play out and how it will actually play out may be two very different scenarios? While I hear that you say your parents are very conservative, does that mean that you are to take a partner with whom has never been married or attached to someone else before and who also does not have any children?
I am a single mother and have two teenage children. I would feel hurt if my partner did not want to share with his/her family my children, with whom would essentially be apart of not only their life but your parents life as well. Alot of people at 36 + years old may have already been in relationships that have born children, this would not be uncommon I don't think.
I am not trying to persuade you in any direction here, but consider his feelings as well, also consider your parents feeling in you making a decision for them. They may very well respond differently to that in which you are expecting, they may have no opinions at all on this matter, but if they do, that essentially is their opinions and if you love this man and see a future with him, then your feelings are really the only ones you should be influenced by.
Hope to chat to you some more anders and see how you are feeling about our ideas.