Wordpress will give you many more blogging options and capabilities than Shopify. There are also numerous plugins for Wordpress that allow you to sell services. WooCommerce is great for selling products, but you may want to find a plugin that allows you to sell just services. You don't really need all the inventory and other product-related capabilities that WooCommerce provides if you are just selling services.
Shopify is great for selling tangible products. However, it sounds like you want to sell services, so the many tools and plugins that give Shopify users the ability to quickly set up shop aren't really helpful to you.