In order to receive post directly to your home, you need to suscribe to the service at Emirates Post. They will come to the house and install a mailbox.

Any items that can’t fit in the post box have to be picked up at the post office.
JVT is served by the Al Barsha Post office, across from Dubai American Academy (near Lulu hypermarket and MOE).
Read my story on getting our mailbox for more info.
Need another option?
You can use Aramex – they have a service ‘shop and ship’ that provides you a postal box in the UK, US and many other countries. Items you order online can be delivered to that address which Aramex collects for you and then delivers right to your home.