Ditch the reptibator, I have owned one in the past. Good for beardie eggs and what not, but not really BP eggs. It will only hold about one clutch of BP eggs.
Make sure to do your research. Google and the search function here goes a long way to helping you on your path.
Like others have said, if you are getting an ivory male (super yellow belly) then your single gene yellow belly male is not necessary. Put the ivory to anything and all offspring will carry the yellow belly gene.
Cooling is not necessary, I do not cool. Some breeders do cool, that's their preference. They will readily breed year round regardless of cooling.
Follicles are basically the developing eggs. It will take practice and experience to determine building behavior as well as learning to palate for follicles. The follicles calcify during ovulation. Once you have seen an ovulation you will know what to look for.
Hatch rite has worked for many people, I have never used it. I use plan ole vermiculite, some use just perilite, and others use a combo of the 2. I also use a light diffuser grid on top of the substrate so the eggs don't come in direct contact with the vermiculite. Make sure if you do buy vlite or plite, that it contains not fertilizers or pesticides.
Like I said before, make sure you do your homework and learn all you need to know. Things can and do go wrong, being prepared will help...