My girl and I recently spent a month trekking and exploring around the Everest region - from Ama Dablam BC, through the Chukhung Valley, Kongma La, Khumbu, Cho La, Gokyo, Renjo La, (ie. The Three Passes), and many of the classic viewpoint peaks in the region.
I got a lot of info and help from people off here so if anyone wants to preview some of the things you can do and see out there, and in particular, conditions during December, have a look here:
Have fun, we did
Bruce