CLAT is the National level exam for the admission of Integrated Law Programme ( B.A LLB, B.Sc LLB, B.Com LLB) & Postgraduate LLM programme. If you are already graduate then I would suggest you to go for three years law programme. There are many universities offer this programme, Here are some of the universities Faculty of Law Delhi University, Faculty of Law Banaras Hindu University etc. You can apply. As per the eligibility you should have minimum 50% in your Graduation to apply.

Good Luck!