My husband and I are going forward with Sperm sorting/artificial insemination. If my fertility is good - are my chances of conceiving on 1st try good?

Yes, but... Yes, you may conceive at the first attempt of AI but only at a rate of 15-25% on average; this is life reality so far. For individual specific concerns, ask your doctors. For more details on subjects, go to http://capefertility.co.za/about-us/our-success-rates/. All the best to conception and health...