Launching Shop On My WordPress Site

I have an existing WordPress site currently monetised through affiliate and display. I want to launch an e-commerce shop on the site. What is the best way to go about doing this?

* Woocommerce or Shopify (if Shopify, how can I integrate this into my site?)
* Will a Woocommerce theme have to replace my existing site theme?

Any advice from someone who has already done this would be appreciated!

 

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