Baruch I don't want to bug you because I know that you have problems getting to the vet, so please don't take what I say as a judgement, ok?
I think you need a plan. Things can go wrong when we least expect it, especially now, with the little ones coming soon, so would it be possible for you to talk to your dad (NOT your mom since she is not sympathetic with your birds' health issues) to ensure once and for all that he will drive you to the vet if needed?
I am sure it would take a lot of worries off your mind.
You could start just telling him that Moon is at risk of losing his foot (of course we don't know for sure but still it's a possibility) and you need to have him checked.
See what he says, and if he doesn't agree we'll have to think of something else. I wish I could drive you myself!