Importing Existing Saved WordPress Database folder with all old website file

About 6 months ago I closed removed my bluhost support for my www.ads-software.com website. At the time I had the domain name peachyeat.com and used the theme calld Foodie. Before removing bluhosts services I saved my website database files on my local computer and had already had my themes files saved as well from when I bought the theme, so I should be able to use it again.

I allowed my domain name to be released since I didn’t want it anymore. I have bought a new domain (thepeachlife.com) and have setup bluhost again. I have my URL all setup and the DNS settings inupt correctly. WordPress is installed and created a new database, as well as active. I can log into my admin side and start working on a new website. But at this time I would like to now know how to import my old website so I can continue to use it and my theme. Basically so that my old posts, photos, theme setup, installs on wordpress, and the plugins ect. would all be the same. The website and theme would all be and look exactly the same.

I think I am confused on what to do next. I know basic technical knowledge and can follow through in usually a step by step process. I am familiar with some basic stuff on worpress.org but not a savy as a lot of you. I know enough to get around and customize some basic website settings within my theme and website once it is loaded, not create and write my own code though.

I read about importing with an FTP, would this be what I would need to do? And if so, I don’t have an FTP program installed on my computer. Would I go to bluhost and try to upload my old files there since I downloaded them from there before?

Any help you can give would be great.