Currently, Shopify doesn't have the exact feature as WooCommerce. However, you can create tags to organize different groups of customers. For more information, you can refer to this document: https://help.shopify.com/en/manual/productivity-tools/using-tags. This feature of Shopify doesn't let you set different prices for different groups of customers but it will make it more convenient for you to manage.
Accordingly, We provide an automated tool which can migrate data from groups of customers on your WooCommerce site to the corresponding tags on your new Shopify store. So if you're interested, please leave me a message or contact our support agents via live chat here.
We look forward to hearing from you!
In order to painlessly migrate your store from WooCommerce to Shopify, you need to use a data migration extension. As guys have already mentioned, you can use LitExtension. But you can also use Cart2Cart tool. It's also quite a popular extension among developers and business owners.
I also recommend asking a professional development team if you get stuck.