I find it annoying that when you confirm your doctor's appointment, they want you to pick a pharmacy. So you don't know if you'll get a prescription and don't know what it will be if you do get one.
Wouldn't it be better to have them hold the prescription, and let you shop when you get home and define the pharmacy then?
What's happened to me is that they send in the prescription to the pharmacy on file, and I get a high price. Then when I try to get prices out of other pharmacies, they say they won't give me a price unless I transfer the prescription. GoodRx is helpful, since you can see the price online, but going that route doesn't accumulate towards the deductible (if there's a chance of hitting that).
And another annoyance is not giving me a paper prescription. That would allow me to shop, but they won't do it. They electronically send to the pharmacy they made me pick before the prescription. If they want to keep it electronic, the system should allow me to move the prescription around to find a good price.