Hi Ken.
It is my understanding that most citrus is self pollinating save for some hybrids. It seems that you can increase the yield by hand pollinating.
http://edis.ifas.ufl.edu/ch082 http://www.citrustreesonline.c...
If you keep it in the greenhouse, it may require some help.
https://www.youtube.com/watch?...
Bees are great pollinators for citrus, so perhaps you could move it out during the day and back in at night depending on size.
http://edis.ifas.ufl.edu/aa092
I have a native sweet orange and a Moro Blood orange in ground on the south side of my yard. I am in zone 8b& 3/4s so to speak.
I leave pollination to nature. Some years we get bumper crops of more than we can eat and give away. Other years, barely enough to keep the grandkids happy. My neighbor hit a sale and has 6 or 7 orange trees in his yard. His yields seem about the same as mine.