Auto-hide Toolbar and Sessions Panel?

[SCLisi]

When connecting to a saved remote computer, is there any way to auto-hide the top toolbar and the bottom right sessions panel?

I don't want to get rid of them completely, I just want them to auto-minimize to the edges of the screen. I rarely use them when connected, and find myself clicking to minimize/hide both of them every time I connect. It would be nice if this was automatic (even if it was delayed - say 5-10 seconds).

I own both computers, so I can change any necessary settings or manipulate anything I need to achieve this.

[SCLisi]

No one?