City Movers
City Movers specialise in transportation and relocation, both local and inter-city. For personal moves they offer a complete service from estimation of costs, to packing, transporting and then unpacking, reassembly and removal of packing materials.
Website: http://www.citymovers.ro/english/home.html
Phone: 0 764 697 911 (Razvan speaks English)
They can do any area in Bucharest.
What area are they in?
I can highly recommend the citymovers.ro. We moved three times with them and they are great (once in Bucharest and two times abroad). Good prices.