Building a client site locally first before moving to host?

Hello,

I have a client that would like me to build a new site for them. They are extremely unhappy with their current site (and unhappy with the developer) and would like something new. They do, however, want to keep the current site up an running while the new site is being built and this is understandable. I’m in no way a professional web developer and, thankfully, my client understands this. Is there some documentation out there that talks about ways of building the client site locally on my hard drive and then moving it to the web host to replace the current site when it’s ready? I searched the documentation section of the www.remarpro.com site but didn’t find what I was looking for (and I’m sure there is documentation that talks about this). If there’s no documentation on the WordPress site, are there websites that might talk about this?

Thanks for your help, it’s appreciated.