As
Notromda said, SSH can be set up to support remote logins without password prompts. I do a lot of work from a Linux GNOME desktop and developed this
GNOME Panel Applet SSH Menu using
Gtk. This allows me to select a hostname from the menu and pop up a new terminal window which is automatically logged in to that host. I enter my password into the SSH Agent once at the start of the session and SSH gets keys from the agent to perform the automatic logins.