Proper domain redirects for Google rankings

Hello everyone,

My question is about domain redirects.

I have a recent client(who I got thanks to the confidence this site helped me build!) who I built a new WordPress website for.

Their original domain is different then their new domain, as they wanted to rebrand their image. The only issue with this is that Google has extensively indexed their old domain and a simple forwarding does not seem to work very well.

What is the best way to tell Google, and anyone who goes to the old site, how to find the new site?

Example:

"oldsite.com/about" forwards to "newsite.com/about-us"

"oldsite.com/contact" forward to newsite.com/contact-us"

Thanks for the help with this. I am new to domain redirect best practices.

Be well,

Joshua