Thousands join eBay daily, ebay spend millions on advertising so expect a good return on those new member figures.
If eBay have informed you the buyer has paid, then send the item only to the name and address eBay provide on the delivery details on the order, and to no other.
All I can say is to send the item fully tracked, add insurance if need be, this for your protection. When tracking shows delivery, initial payouts will be released sooner.