Here is what I know of this stuff based on learning it all just recently:
See above sticky at the top of this thread for a list of some sperm banks. Many will send it to your home- you have to get a doctor or midwife (or maybe a nurse would do) to fax a signature in to approve it, then it is all you.
At home you can do- I thin kit is called ICI- just a plain vaginal insemination in which you simply thaw the frozen sperm for 30 minutes (or so) and then pullit up into a plastic syringe and insert.
As for ovulation, it is really good to get clear for a few cycles. Temping is very helpful, as are ovulation predictor kits (opks) which you can get at any pharmacy. I use "Fertility Friend" website to keep track of my chart. It is free- google it- and you can enter your info each day and keep track.
the temp taking helps afterwards as you see a pattern in which your temp rises about .5 degrees ( varies) right after ovulation. So it confirms that you have ovulated. The opk's detect the LH surge which happens just before ovulation.
We used 3 vials for our at home insem this first try here. I am still in the 2ww. I have heard of people using 1 or 2 vials, and a few using 4.
the bank I used costs $530 a vial for washed sperm, and $480 or so for unwashed sperm, per vial. Unwashed is better for at home insem, washed is intended for IUI, but can be used for ICI. We got washed only cause the unwashed of our chosen donor ran out as we were registering, and we learned that it is okay to use washed for ICI too.
So it is that, plus about 200dollars shipping plus 100 one time registration.
Ask any more questions you want to. I asked all these questions last month!