Hi there! Personally I would not bring furniture when it comes to a fully furnished apartment in Doha , as they do have the basic stuff being put in already;such as tv, tv cabinet, wardrobe, sofa bed .
Like me, I will be very soon moving to one of the fully furnished apartment as well, n now have the difficulties getting rid of my bed, sofa, tv n cabinets - omg it sure will gonna take some time y'know, so judging from my own experience, I would not recommend you to bring too many of your own furniture :)

Oh and welcome to Doha! :)