Dear aspirant,
I hope you got best results in CBSE examination  to apply for BA in psychology, you should have studied psychology in class 11-12th and your marks in psychology should be good
The colleges you can apply for BA in psychology are-

St.Xavier's college Mumbai, Maharashtra
Christ University, Bangalore
Jain university, Banglore
Ferguson college,Pune
KCLAS-coimbtore
Kj somaiya-mumbai
Gargi college-11
Jai hind college-interview
St.xavier's ahemdabad
Loreto college, Kolkata
Symbiosis,Pune
Sophia college, Mumbai
Lady brabourne college,Kolkata
Etc
Most of the above colleges have best faculties for psychology and also has training faculty.

One can go for any of the above colleges they have nice faculty for psychology
I hope this helps.