You can use the standard SSH access protocol to open a terminal session on your hosting server. Make sure to use the server hostname and provide your valid username and password (see Account logins and important URLs). The port 22 is default for SSH and does not usually need to be specified. When you login over SSH, you should be put in your home directory automatically, unless you override it in your SSH client configuration.
UNIX and Linux based systems (including Mac OS X) come with a built-in command line ssh client. For Microsoft Windows systems, there is always Putty, a good SSH client to download for free.