It's not really IKEA style, but there are six or seven bamboo/rattan furniture stores on the corner of Quang Trung and Tran Nhan Trong, mostly on the Quang Trung side facing Ho Thien Quang (Thien Quang lake).
There all have the same kind of things, shelves, chairs, cabinets, the odd sofa. All are bamboo/rattan constructions and are reasonably sturdy. As for price, it's pretty cheap - I got a deep, four shelf unit to use as a shoe rack for about VND140,000 and also got a storage unit for about VND340,000.