We also do not have set riding assignments and tools.
If my engine is first due, the jumpseat grabs the can and the irons. I will grab a 6' rake and the TIC. If we are stretching the can gets left behind.
If we are going in second due, we will grabs rakes unless given a different task. The TIC always comes in with me.
Sorry it wasn't more clear. We bring the irons for FE. We have a hydraram on on HQ engine, but it is rarely used, My jumpseat firefighter brings the can and the irons. Gives us the best combination for most calls.
It is called an adz.
As a Truck Officer, I grab a TIC, box light, haligan, and roof hook.