So I went to the A/C supply place that's not far from where I live this past weekend. Despite telling me over the phone that they wouldn't have a problem selling stuff to me, when I was there, the guy really did not want to sell me anything. I should have taken that as a hint.
Anyways, I picked up the 5/16 to 1/4 service port adapter I needed plus the blue bug juice leak detection fluid:
Then I found this at the local hardware store, for much less than I paid for the big spray bottle
:
My flaring tool is the Superior Tool model from Lowes. Checking the cone angle shows that it's pretty close to 45, if anything a degree or two over:
Here are a couple pictures of the install so far: