One of the Zoom “handy recorders” would do wonders. The H1 (I think it is) is very cost effective, and you just press record and point it at people. The H4N and H6 are more expensive and can do much more… but if you just want to record, then an H1 will work fine.
You can also get really good results with a modern mobile phone. Someone else was just talking about that:
I use a Zoom H6, but I bet an iPhone would work. I’ve sometimes had folks record to their iPhone while we are on a Zoom virtual recording (different from Zoom H6), and send me the file. It’s always better than the recording from the Zoom call. The mic mentioned above sounds good! I have a Rode mic to use, but I’m not crazy about it. Good luck!