My favorite coffee, after Starbucks, of course, is Blue Tokai. They have their own store page on Amazon India. I have been experimenting with their various coffee beans. After you place your order, they will custom grind for you—if you want or you can go for full beans.
Th best thing is their sampler pack. Even I started with the sampler pack and from there I moved on to what I liked.
I use the InstaCuppa french press, which is decent (not so great, so far the best among the options I tried. The best part is if you break the carafe, you can buy the spare one easily.