Ok, so by now I'm sure you've heard about all the changes Etsy has made on the whole changing your shop name. I had given an account on how I went about changing my shop name, here, before these newest updates were made. And since I see a lot of people still refering to that post, I thought I'd give a few links from Etsy's Storque on their updates. This should make the whole process SO much easier!!
As always, if you have any questions, please feel free to ask. I hope this helps, good luck!