With the free account, it says 50 responses max. Does that mean monthly or before I have to start saving the responses before I can receive more?
This means you can have 50 active responses on your form. You can delete responses to collect more or upgrade to a paid plan with higher limits.
Am I able to save them and / or print them before I delete them?
The suggested workflow is to copy them to a spreadsheet such as Excel and then delete them from Formscentral.