IUI at home
Hey Gooseface! (Gotta say, love your "name"!)
Don't know about everyone else, but when I did my wife's insemination I attached the flexible catheter to a 1cc tuberculin syringe and very slowly and carefully pulled the sperm out of the vial that way. I also was very careful while we were thawing to not move the vial around too much, in order to prevent any air bubble artifact. My main concern was making sure I didn't have air bubbles in the sample or in the catheter. That was my biggest challenge. You don't want to insert air into the uterus. The benefit I found in using the catheter to suck up the sperm was that the tip of the catheter is smaller than the tip of the syringe, so I could make sure to get all the little swimmers.
I would also recommend coming on over and observing and participating in the Queer Conceptions thread! We create a new one each month, the first page has all the people who are involved and what point in the process they're at. Then it's basically a chat thread, but there are a ton of well-informed, supportive individuals there. We'd love to have you join us!
Best of luck.