migrating wordpress to another webserver

i have a client whose wordpress website is functioning normally and they want to change their web hosting to another company

the website needs to be migrated exactly the way it is now onto the new webserver

i found this link https://codex.www.ads-software.com/Moving_WordPress

in order to migrate i am guessing i need to do the following

1.
export the sql file from the existing webserver so that i will have taken a backup of the website and also information regarding the websites post, content and other details.

2.
download wordpress file and edit wp-config.php and specifying the database details on the new server

3.
upload wordpress files to new server and install wordpress on the new webserver

4.
download all files and folders exactly the way it is now on the existing webserver to a local computer and upload these files and folders as it is to the new webserver by replacing all the files on the new webserver including css, javascript, images, video, audio, plugins etc and making sure wp-config.php has the correct details

5.
access phpmyadmin on the new server and import the sql file that i
exported from the existing webserver

if i follow the above steps will wordpress be installed on the new server and work exactly the way the website is working currently with all the posts, content, video, images etc

please advice if i have missed anything

thanks