Hi,
If you want to simply duplicate all your website including HikaShop's stuff, you can do a backup with akeeba backup and restore it on your new server with kickstarter.
If you only want to migrate the data and files modifications of HikaShop that's more complex.
First, you need to get all the table of HikaShop in the database of your first website by exporting them via phpmyadmin. You'll get a SQL file that you can open with notepad and change the prefix of the tables to the new prefix and then import that SQL file on your new server's phpmyadmin, after deleting the table of HikaShop from it.
Then, you need to also copy over the media/com_hikashop folders and files which contains the CSS overrides, emails overrides, images, thumbnails and files; and copy the templates/YOUR_TEMPLATE/html/com_hikashop folder to your new website's templates/YOUR_TEMPLATE/html/com_hikashop folder in order to get the view files overrides.