Congrats on the good anatomy scan!
I wore compression stockings during a trip in September when I was on my feet a lot and getting a little swelling in my ankles. It took a couple days to get used to them, but then it was fine (and no swelling!).
My OB advised that the thigh-highs were more comfortable. He said that for my purposes (travel) I didn't need the kind where you get fitted at a medical supply place. And I didn't need something super-compressing. I ended up getting these.
Even though the compression level is weaker, they were still tight to put on the first few days. What I really liked was that the silicone beading did it's job: I never had a problem with them slipping down. They were super secure. And at least after a few washes, the silicone still worked fine.
Also, with a doctors "letter of medical necessity", they're FSA-eligible, if that's relevant.
I got these. They go over the knee and are only light compression (15-20). That’s what my doctor recommended. I found the sizing chart to be quite accurate, just FYI.