Then, after you're all tested and things are working well, then raise prices (maybe after 2-4 weeks in).
Does it really matter about having high prices for those first few customers? No, they get a reward for taking a risk on you!
I know because I did exactly what you said, and I can tell you your point #2 "It's easy to lower prices" is not quite right.
It really sucks to lower prices. Here's what that looks like:
https://s3.amazonaws.com/nugget.one/academy/nugget-down.png
Conversely, it's easy to raise prices and grandfather the first few customers that took a risk on you.