Redirecting URL to another site process?

Hi...the company I IC with has a super long URL. Owner didn't think it would matter, but pretty sure it does. I told him he can probably buy another shorter version and just have it redirected to the main site. Though not sure if that takes much to do and if we can do it on our own or have to call the tech IC he works with.

Is there an easy way, and how, we can do this and/or is there a special referencing term for this process for me to try to find online? Seems like it shouldn't be hard from a simpletons perspective, but tech stuff tend to be harder than expected sometimes.

He can buy a new domain URL in his access of the Wordpress/Woo Commerce system, which I'm trying to learn too, but wondering if there is a quick connect process to save some bucks? Yes yes yes...could make me look good too, so help me out anyone?? TIA!