For kitchen equipment, Croma is an electronics superstore that has everything from hand blenders to refrigerators. http://www.cromaretail.com/ See the electronics section for other recommendations on buying electronic kitchen equipment like stoves, dishwashers, ovens, toasters, water purifiers, etc.
For crockery and linens, Fabindia (http://www.fabindia.com/) has home furnishing and interiors stores (see the Fabindia on Commercial Street or in Eva Mall on Brigade Road) which sell tables and chairs, as well as table clothes and dishes. Home Stop (on Magrath Road, just off Brigade Road, opposite Garuda Mall) is an IKEA-like store which also sells home furnishings, crockery and cooking vessels alongside tables, chairs and cabinets. Both options are mid-range and of good quality. Also see the Home Furnishings section for more ideas.
For more of a safari adventure in finding cooking instruments, Shivajinagar is an excellent market for ‘cheap and best’ items from vats and utensils, to dish racks and even ingredients. Be ready to rummage and bargain.