Start with Second Tablet on Google Play

My old tablet was a LePan II from QVC. It quit on me. It wasn"t worth the money to have a pro look at/repair it. So, I got a Proscan PLT9045K (from ShopNBC). After I got it charged, I went straight to Google Play, but I do not see how to add a new device. I understand that there's not really a way to delete the original device from my account (and if there is I'd like some help there). How can I connect my new tablet with my existing Google Play account. I really don't want to set up a new gmail.