a)
In our ExpeditionVehicle, we set our Wave 3 catalytic heater on the floor on its stumpy legs.
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Our floor is slate in the center, with bamboo around the perimeter.
The heater heats the slate, then that radiates into the room.
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And the warm floor feels wonderful on tootsies.
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* We have a dedicated five-gallon propane bottle and hose for the heater.
* We have a dedicated five-gallon propane bottle and hose for the Coleman propane two-burner camp-stove.
Last night -- January 11th at 2am -- the dogs woke us, grumbling because the heater bottle ran out, so I removed the hose from the cook tank, and switched the heater over to it.
One benefit of separate systems.
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And 'yes', the dogs are Heelers, and 'yes', they are micro-managing tyrants.
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An aside:
The box floor of our quarters is wood planks.
Building our rig, we laid one-inch pink-board insulation on that, then plywood, then the slate and bamboo.
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Over two decades full-time live-aboard, zero issues.
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b)
Based on our experience, the hoses are standard.
You could take your Wave 3 to a camp supply or propane shop, they should be able to fix you right up.