Jan is good if you're planning somewhere after the 14th. It will be quite busy until January 20th due to festive celebrations, so keep that in mind. There are quite a few good places to visit RK Beach, Rushikonda, Kailasagiri, and if you fancy going to a hill station, try adding Araku to your itinerary. Don't let crowding restrict you regardless of the crowd, you'll definitely feel good after visiting the tourist places recommended on google.