You have two different options:
1. Liveaboard from Taba-Sharm. It is a completely different attitude of diving compared to the crowded liveaboards operating from Sharm- in most sites you won't find too many other boats- if at all. Some great sites which are not so popular are R.Abu Galum and R. Mamlach, Gabr El bint and of course the Nabeq region. Some are well known and popular like the Blue Hole, Canyon, Tiran Island.
Aqua Sport operate this route.
2. Arrange a liveaboard from Sharm. All the Israeli representatives of liveaboard companies (like the SeaQueen fleet, Umbarak's Freedom boats etc.) will arrange everything including Eilat-Sharm transportation. Then you can choose which scenarios is better for you: Tiran, Ras Mo and its surroundings, Shaab Abu Nuhas etc. It all depends how many days you want to spend.
In a 4-5 Day I'd try to do 2 days in Tiran, 2 days in RasMo, and one day/night at Thistlegorm.
Myself, I never get bored diving Shark&Yolanda. There are so many different ways to dive these sites that I always try to convince the participants to spend the whole safari diving only Shark&Yolanda reef, but I never succeed and we end up going to other sites only to conclude after the week that the best diving was... Shark&Yolanda