Registered users and subscribers can create, name and save multiple searches. We call a saved search a Property Scout. A scout saves your filter criteria, map position, sort order, etc. Pretty much everyting exactly as you see it on the find page.
Refer to the online help on the Find page for more details.
In Talk RealtyZapp, there more articles on tips and tricks for using scouts, many of which are valuable to agents and brokers. Just search for scout.