(I ask because I'm still trying to get an idea of just how vulnerable your garden-variety server is, user stupidity aside)
If you've got a "garden variety" server with a strong password, I wouldn't worry.
I've got a laptop slung on the end of my ADSL line that has had literally millions of attempts.
If you are worried, you can install fail2ban which will block repeated attacks at the firewall level.
And if you use SSH keys you should be totally safe.
Remember to apply security fixes though since the automatic attacks also probe for ancient versions of SSH servers.
One easy way to manage it is make a folder for each hostname, and add things like mysql root password, ssh port, public IP, pivate IP as different entries relating to the all aspects of managing the host.