Which bank gave the best home loan rate in Greater Noida?

Which bank actually gave you the best home loan rate in Greater Noida? I'm looking at a 2BHK in Kakrola, maybe from Elixir. My parents keep saying negotiate hard, but builder bol rahe hain ki prices fixed hain. Honestly not sure if negotiation works for first-time buyers. Should I push for a better deal or just accept the quoted price? Any tips on loan process smoothness? My budget is around ₹78L.