PAIN

First, you will need to unlock the Knight at the Museum environment using the example I showed above for the run in that environment. This trophy will take some time and practice (it's a gold at least), but first you will need to open all of the secret passages (which does NOT have to be done in one run)

Open passages on Stiffsonian

Open passages on Knight at the Museum

Open passages on Fun With Explosives

This can actually be done on the FreePlay level (where you have unlimited launches). Credit to ThaBlackHand:

Once you have opened all of the secret passages you will need to follow the path on this video. Rinse and repeat on all 3 of the required maps.

Stiffsonian

Notes:

1. It is difficult to see from the video, but if you don't know it already, you will want to mainly use only the first two ooch's so that you still have some momentum so the ooch meter fills back up. The 3rd and 4th ooch don't offer much extra movement and delay your ooch meter from refilling.
2. At about 1:00 he makes a U-turn at the top of the elevator. I found this to be a difficult part as I would often stop moving and not get an ooch. I also did not have the sumo character. You may want to try doing some practice launches up the escalator and making a U-turn before attempting this in your full run.
3. At about 1:40 in this video, he goes to the right of the catapult. I tripped the catapult before I attempted to get all the passages so I could go around the way to the left.
4. The last passage he goes through often gets 'clogged' with the broken jars and debris. If this happens you CANNOT go through the passage and cannot get the trophy. There is nothing more frustrating than successfully completing this entire run and NOT getting the trophy because of this (I KNOW) So take my advise and shoot yourself at this one before attempting the full run to make sure you can go through it.
5. For the Fun with Explosives run make sure you are playing the Fun with Explosives mode and not the Fun with Explosives Freestyle! (I did this too).