Guys...you are aware these things exist, right?
These are brick separators, and they come free with most sets now. The better green/gray ones can be bought for like $10.
As for axles, you can use longer axle pieces with enough force. You can also (VERY CAREFULLY) apply use of dolphin-nosed pliers if extra force is needed. I sometime use a paperclip to remove parts that get stuck in other parts.