You can't directly integrate Storenvy with your website, or put your store on your website. However, you can create a seamless experience for customers in 2 different ways:
Use Custom Pages
If you don't need anything complicated on your website, the easiest thing to do will be to add a few custom pages to your Storenvy store, allowing you to include any additional information you want. You can also pull in a blog feed if you have a blog that's hosted elsewhere. This way all those pages will automatically match your store.
Customize your HTML
You can connect your Storenvy store and your website seamlessly so it appears to the shopper as if they are always on one site even though they are switching between the two.
In order to do this you will need to create a custom header, sidebar and footer (or a combination of those) that contains the links to both places (e.g. "Shop", "Home", "Blog" etc.) and the graphics or information you want to be consistent across both. Then all you need to do is to put this code on both your site and your Storenvy store and make sure all the colors and fonts match.
If you're using this technique, you will probably also want to setup a custom domain so the domain the shopper sees in the URL bar is also always consistent. If you have a landing page on your website, then set your Storenvy domain as store.yourdomain.com or shop.yourdomain.com.