Sperm Donor

I am 36yrs old and I am currently engaged to an older man. He has had a vasectomy over 10 years ago and we both want to start a family together but he doesn't want to go back under the knife for previous health reasons. So we've talked about donor sperm which we are both very comfortable with. I'm clearly overwhelmed by this process and I'm not sure where to start. I do know that I live not too far from a sperm bank. I was looking at their website and I just want to ask, is it really just this easy? Has anyone else gone through this process as far as home insemination? I'm afraid of the unknown and I just want to know if anyone has had any luck on the first round. Thank you!