how do I save my progress?

[mpdepallo]

how do I log out?

[mesquitebean]

You appear to be using Online TurboTax.  Online TurboTax saves your return after every screen.  You can come and go.  The best way to exit is to go to the left menu column and scroll way down to the tab Sign Out.    But even if you were close your browser, your return should be saved.