Yes you do need a CDL License to drive a bucket truck.
Depends on the Gross Vehicle Weight Rating of the vehicle. 26,000 lbs. or less, it doesn't require a CDL. 26,001 lbs. or higher requires a Class B CDL. If you're running a Class C wrecker (Class C is a heavy wrecker... wrecker classification and driver license classification are two separate things), then you'd need a Class A CDL.
A CDL is only required for a tow truck if the vehicle has a Gross Vehicle Weight Rating greater than 33,000 lbs. There are three classes of wrecker, which are classed by their capabilities, not by the license you need to drive them. Contrary to what some people think, a Class A wrecker is a light duty wrecker. These do not require a CDL, although a DOT medical card typically is required. Class B wreckers are medium duty wreckers, and this class gets to the point where you're going to start needed a Class B CDL. Class C wreckers are heavy duty wreckers - the kind which tow semis and such. You would need a Class A CDL to drive one of these, as well as substantial experience driving a truck - you don't just get out of truck driving school and get put behind the wheel of one of these.
No, just to drive it.
It depends on the model. You need a CDL to drive one that bends in the middle or is over a certain length
If it's a truck which anyone else would be required to have a CDL to drive, then yes.
If the vehicle requires a CDL in service, it'll require a CDL for the test drive.
You only need a cdl license while driving a box truck if the gross weight of the truck is 26,001 or more. Most uhaul rental boxes are able to be driven without a cdl.
Well that depends what kind of truck you want to drive. For huge eighteen wheelers you do need a CDL. You can take classes at your local community college for a CDL license.
You would need a Class A CDL for Dump Truck. It's not as intense as more restrictive classes of CDL.
Yes
Depends. You can drive up to a Class 6 truck (up to 26,000 lbs. GVWR) without a CDL. Class 7 or Class 8 trucks require a CDL.