In order to zero in on the best Salesforce training institute located close to where you stay, it is advisable to check the listings online & short-listing a few, basis proximity of these institutes to your residence. Once located, access the websites of these Salesforce training institutes and check if the following requirements are being met by these Salesforce training institutes or not:

The training programs offered at a Best Salesforce training institute must help aspiring learners in honing their Salesforce related fundamentals and in advancing Salesforce skills.
The trainers at the Salesforce training institute must be conversant in usage of all the features of Salesforce.
Certificates must be awarded by the Salesforce training institute; to the candidate upon successful completion of training programs.
Industry-specific knowledge must be imparted at the short-listed Salesforce training institute, for which an aspiring learner may tally the topics covered as part of the training program syllabus with the job description of specific roles in leading firms.
The Salesforce training must help with interview preparation by assisting learners with resume writing & answering common interview questions
The Salesforce training must offer both online and classroom modes of training.
The Salesforce training must offer support round the clock; help with doubt clarification of enrolled learners & resolve issues being faced by them.
The Non-IT background students
After considering the above mentioned parameters and short-listing Salesforce training institutes most feasible for you, do visit these institutes to check if the services offered match with what the institutes claim online.