Umm- you have your own website?
Then you post the item for sale there. Since you are able to receive money there, I assume you are already selling on your site.
What you DON"T do is use the eBay seller's pictures and/or description. Write your own and take your own pictures.
Many members buy on eBay and resell on other sites. Some even buy on eBay and sell on eBay under a different name.
Not a problem.