I see no one has bother to reply so I shall.
All 3 of those trades you mention undertake EOD duties as a specialist skill. This means that when not employed in an EOD role as an operator, you are doing your 9-5 job, be it stacking ammo, bridging, or bubbling about a harbour somewhere swimming through diapers and bilge water (that, by the way, was a total SWAG as to the normal duties of a clearance diver, all in jest).
What I am getting at is do not worry yourself with what trade does the most bomb tinkering. Educate yourself as to the day to day duties of each trade and pick the one you want based on that. You will have a few hurdles ahead of you before you enter the hurt locker, and there is no guarantee you will be selected for EOD training anyways.
To give you a rough example, if you wanted to be a combat engineer EOD operator, you would have to:
1. Get selected at the Recruiting Centre.
2. Pass BMQ
3. Pass SQ
4. Pass your combat engineer section member course.
All of the above could take close to 2 years..then
5. Make it to a regiment, and spend time at the coal face learning your trade for real.
6. Get the necessary pre-requisites for the No. 2 course, then get loaded on it.
7. Pass the No 2 course.
Only after all that could you conceivably be posted to an EOD job. Obviously there are instances where people do not go through this whole rigamarole and find themselves posted straight to a team, but these are rare.
In short, worry about getting in, then start trying to do the hollywood stuff.