Melt Cup together with handle How to seamless connect a handle to a cup?

What i have done: 


I add a Nurbs-Cylinder and close the bottom. (The cup).
I add Bezier-Curve formed like the profile of a handle.
I add a Bezier-Circle formed like the intersection of the handle.
Set the Bezier-Circle as Bevel Object.
Resize the nodes of the Bezier-Curve.
Render



The Handle touches the cup just a little bit. 

How to Seal the handle with the cup?
You could use the bridge function of the loop tools add-on if you have it enabled. You can find it under user  preferences> add-ons if you don't. In the attached gif I used a curve for the handle of my cup, and a cylinder for the cup itself. Press  Alt+C  to convert the curve object to a mesh object, then  Shift and RMB to select both objects. Then press  Ctrl+J to join your meshes. Now you can delete the unnecessary faces, and bridge the appropriate edges. To do so, use  Alt+RMB  to select your first edge loop, then Shift+Alt+RMB to select your second edge loop, and click bridge under the loop tools options.