Just said that to get your attention. If you don't know what I'm talking about (caution, language).
The choice today is take a beginning class or buy your own skates?
I think this is pretty much as easy as cake or death, where your own skates=cake and rental skates=death.
Most people who can't skate in beginner class would be just fine if they had skates that hadn't been ruined because budget cuts at public rinks, and profit margins at private ones, means that no one ever replaces their rental skates anymore. They just grind the blades into dust.
You can tell a bad blade-- it will be narrow at the back end, instead of square. The bottom edge, which should have a curved hollow and two clear edges, will be flat. The "profile" (the side view, essentially) will be wavy.
Then there's the "we're out of 9s, here's a 10" problem. Badly fitted skates don't just mean loose, or tight. It means the blade is the wrong length for your foot, making it harder to balance properly.
So where were we? Oh, yes, cake or death.
The problem is that beginning skating class costs about the same as decent recreational skates. So people think "well, we'll see if she likes to skate, then we'll get skates." Problem is, she's not going to like skating if the crap rentals are preventing her from standing up.
I believe it is in the PSA Manual that says that coaches shouldn't tell students that the rental skates are no good, because it reflects badly on the rink, and sets up possible liability. I have also been told by at least one rink that telling people their rental skates are no good is grounds for dismissal. Really. So your coach may or may not tell you if the skates are part of the problem.
I say, spend the money on a pair of skates and go skating together once a week for 6 months. THEN take lessons.