Making a group of polys into a new object?

Im modelling a coffee mug trying to get used to using Blender.

So I modelled the basic shape of the mug, but then in edit mode I made the polys for the handle.

The problem is I want the handle to be recognized as a seperate object, so I can do a boolean operation. Right now, the handle and the mug are one object.

How do I seperate the polys and make a new object out of them?

Goto Edit mode and select only 1 vert of the handle. With your mouse-cursor over that vert hit L which will select all linked verts, then P >> All Loose Parts.