To authenticate users, check out the (documentation)[https://laravel.com/docs/5.2/authentication]

        if (Auth::attempt(['email' => $email, 'password' => $password])) {
            // Authentication passed...
            return redirect()->intended('dashboard');
        }

authentication service to uses my table user to make authentication instead of the table users

Regarding the table name, you change it in your (model)[https://laravel.com/docs/5.2/eloquent]

class Flight extends Model
{
    /**
     * The table associated with the model.
     *
     * @var string
     */
    protected $table = 'my_flights';

Hope that helps.