This can be accomplished through a product upcharge fees app. We have a variety of options you can install from the Shopify app store. There is one called Upcharge: Surcharge & Fees that I think will suit your needs. You can charge fees for any kind of product including custom requests, and order personalizations.
If there is anything else I can help you with, please let me know.
Dirk | Social Care @ Shopify - Was my reply helpful? Click Like to let me know! - Was your question answered? Mark it as an Accepted Solution - To learn more visit the Shopify Help Center or the Shopify Blog