I'm sure there's a few people around with much better knowledge than me as it was a few years ago for me now. But there are quite a few tests they can do prior to commencing assisted conception. In fact my FS wouldn't let us proceed without doing these. I know there were some expensive genetic blood tests, and as N2L suggested a sperm test would be essential.

I would imagine they would do these tests first and if all look good and you go ahead with IVF or other then they may need to do additional testing of the embroys if you have no success. What state are you in? Have you been referred to a FS?