Go for FIITJEE, and Kalu Sarai Centre is good (I think FIITJEE's best centre).
Regarding material, I would say no FIITJEE's own material will not be satisfactory, you have to solve other books also. FIITJEE's Classroom Study Package are not upto the mark. They don't have that much level which is required. Even our own teacher's says that FIITJEE's packages are not enough. But you will got to know FIITJEE's importance when only 6-7 months will remain, there Grand Master Packages, Review Packages, Rankers Test Paper Files are good and are required very much, also their very much popular All India Test Series, AITS.
Regarding books I would say:
Physics : H.C. Verma Vol. 1 and Vol. 2 (very important), Arihant Understanding Physics Series by D.C. Pandey, also if you want you can do G.C. Aggarwal Vol 1. and Vol. 2.
Maths : M.L. Khanna, A. Das Gupta (Both subjective and objective editions), these both are must also you can do Arihant
Chemistry: R.C. Mukharjee (physical chem.), P. Bahadur and Arihant (Physical, Organic and Inorganic)
Make sure you do mostly subjective questions and then objective. Subjective ones make your concepts strong as comapred to objective.
Also do FIITJEE Archive containing previous 25 year questions, regularly.
Good Luck!!