How to change a machine name?

What is the procedure to change the machine/system name?

For example, one of my computer's names that appears at the prompt is:
joe@joe-T60:~$
I'd like to simplify it to just t60:

Likewise, I'd like to change my other computers machine names to simpler
names.

Also, is it possible to change the ip addresses of one's computers and
other devices; and if so, how can that be done?



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