If you are looking for solid hard wood furniture (e.g. sheesham) that you can keep for a life-time, head down to Carrefour Airport Road there is a little showroom (not a store, just out on display in common area) on ground floor with some lovely pieces. Their main warehouse is in the Meena (port) area. It is called Debaj Trading.
Although it might seem pricey at first glance compared to the Ikea cookie cutter stuff, you can haggle the prices :) Also this furniture is pretty 'bulletproof'and can withstand a few house moves and knocks & abuse from toddlers :-p Had our stuff for over 4 years now and plan on keeping most of it when leaving the gulf some day.