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.
What you need to do is to enter the account information on the new tablet.  It should ask you for it (along with the other stuff like the time and date) when you first power the device up.  Alternatively, it will ask you for it when you open up the play store/market app on the device.

There's no need to remove the previous device from your account nor is there any way to.  You can have at least 10 devices associated to the same google account at the same time.

Also, the device will automatically get removed from your account after it hasn't been in contact with the play store for about 9 months.