Exploring the East Coast around the Tulamben area, its always better to get your own transport, whether it be a car or motorbike. Check out a few places in the Kuta area, negotiate and you can be on your way within 20 minutes.
If you insist on taking the bus, there are options. Perama bus services Tulamben and will drop you there from Kuta. Perama’s pick up spot is on Jl. Legian in Kuta, close to Poppies I. The ride to Tulamben will take 5 hours. Perama is not a tour bus, it is a point to point bus, where you buy a ticket and get dropped off. Having arrived in Tulamben without transport, you might like to take another Perama bus to other locations in East Bali. Here is the Perama schedule from Tulamben.
Due to the fact that Perama might only run one bus a day on some routes, an overnight stopover might be necessary).
Air Saneh (daily, 1 hour)
Bangsal Lombok (daily, stop over required)
Bedugal (daily, stop over required)
Candi Dasa (daily, 1 hour 30 minutes)
Kintamani (daily, stop over required)
Kuta / Airport (daily, 5 hours)
Kuta Lombok (daily, stop over required)
Lovina (daily, 1 hour 30 minutes)
Mataram Lombok (daily, 7-8 hours)
Padangbai ( daily, 2 hours)
Sanur (daily 4 hours-4 hours 30 minutes)
Senggigi Lombok (daily, 7-8 hours)
Tetebatu Lombok (daily, stop over required)
Tirtaganga (daily, 1 hour)
Ubud (daily, 3hours-3 hours 30 minutes)