We are quite close to your character's situation (using a known donor, having no fertility problems)... no sperm banks, medicalization, IUI's here (so far, that is--we will be ttc #2 soon, and are on the other side of the country now from our donor--sigh! It makes everything so much more complicated...).
Our costs for both successful inseminations:
<$6 small animal feeder from the pet store (syringe)
$6 or so: plastic speculum from woman-friendly sex toy shop (Toys in Babeland)
free: recycled small jam jar for the sperm
various pg. tests: same as for a heterosexual couple
our daughter: priceless!
It can all be very low key and homey (this last time we got pg--miscarried, unfortunately--our other daughter had a stomach bug, so while our donor and his girlfriend did their part, we hung out with our throwing-up little girl, and then after the handoff (where our donor's gf passed the jar of sperm to my partner with a candle, which we've done every time...) they took over. all very extended-family-like and comfortable...well, except for dd of course, who was not such a happy camper at the moment...)
A funny movie is "Chutney Popcorn" though I do think they use a turkey baster (which is, of course, not really done). Also, "If these Walls Could Talk" with Ellen DeGeneres, etc, though that situation is with an anonymous donor. Neither was similar to my experience, but it might be fun to check out other fictional representations of your situation, so you can see how personalities might impact decisions/choices/etc.
good luck and have fun!