Hi,
we wanted to get the furniture fom Ikea too and this is what they replied, I hope it helps you:

Dear customer We do have a delivery service to Doha through Land Freight services byaramex their tel no's in Doha are as follows,
Tel: 00974(4)426101
Tel: 00974(4)441524
But to make the purchase you will need to come in personally to the store.Please don't hesitate to call or mail us for any further information.
Best Regards.
Customer Service.
IKEA U.A.E800
IKEA 800 4532