While Sarojini Nagar caters to both of your requirements, you can check out Janpath lane too, it has a few stores along with Gandhi lane for decor and palika bazaar and the lane for clothing.
For home decor-
Munirka furniture market
Sadar Bazar, Chandni Chowk, Lajpat Nagar, Janpath, Banjara Market!
Hauz rani, banjara market, panchkuia market