I had shifted from India to Qatar and later from Qatar TO Dubai through Bridgeway Shipping. My experience with them was amazing and hassle-free. The entire shipment came out with no damages and it was very convinient for me.
Worst cargo service I have ever used, they don't deserve any star. I booked for air-cargo for fast delivery (7 days which they claim) and paid almost 3 to 4 times of sea cargo. But, they split my items and sent major items with sea cargo. Overall delivery took around two months that too after several follow-ups, phone calls, personal visits by my friends in Dubai.
They will promise you lot of things, but please beware once you leave the country you can't do anything except just wait for your stuff to arrive safely.