You should upload the HTML folder and then install it the same way that you did on your local machine. Set the values in the config.php file and then access the index.php page - and with a bit of luck it will install without any problems.
Then you go through all the joys of setting it up, AGAIN 🙂
You can upload the db you have on your local machine, that way it will be in the same state as it is on your local machine.