On Mon, 20 Feb 2012 12:22:37 +0000,
wrote:

I need to reduce the diameter of the handle along a length of 2" to
fit into head. It needs to be uniform for a good fit.

I have no lathe.

Whittle it down with a sharp knife or chisel, bit like sharpening a
pencil. Using a chisel with the bevel against the broom handle will
be easier than a knife to produce a parallel sided diameter
reduction.

--
Cheers
Dave.