There are many institutes or centers in Hyderabad that offer Web Designing courses here I am listing the names of a few and attaching a file that will have the names and contact detail of all the institutes which you can download for free:

Pixxel Arts
Ameerpet, Hyderabad

CGtrix - Animation Academy
Ameerpet, Hyderabad

Dreams Media Solutions
Ameerpet, Hyderabad

Image Infotainment Ltd.
Kukatpally, Hyderabad

Srashtaa Software
Ameerpet, Hyderabad

Image Infotainment Ltd.
Ameerpet, Hyderabad

Shades Multimedia
S.D. Road, Hyderabad

ACE Web Academy
Secunderabad, Hyderabad

Swastik Technologies
Ameerpet, Hyderabad

Iintelekt
S.R. Nagar, Hyderabad

Xcellence Technologies
Ameerpet, Hyderabad