We've just come back from Bali and, in Tulamben, we stayed and dived with Liberty Dive Resort who were fantastic! (the food wasn't great though). Very convenient for diving the Liberty. You get a personal guide and set your own dive schedule, for a reasonable price - IDR 400,000 = ~27 Euro. This is my trip report:
Trip resort – Gili Air & Bali with young kids (1 & 4 years), May 2017
LDR may be able to arrange pick-ups from your hotel but I'm not sure.
I cant comment on Relax Bali Resort but they seem to get decent on-line reviews for their accommodation.