Well although i have already written in another thread that I have never actually been up close and personal with the true Camperdown Elm, yours looks like an Elm to me and it is weeping, so my best guess is yes it is the lovely
Ulmus glabra Camperdownii.
As to your foundation well it depends on their depth and construction, and the soil type, soil profile, etc... Too many variables to make a definate call for me...but its not really relevant since the tree should be moved anyway...it is too close to your house....
As for the full size well accepting that variables of climate soil irrigation etc check out these beauties...
Flickr: The Camperdown Elm Pool
In 10-20yrs the tree you have now will have had to have been very seriously cut to remain where it is...destroying the exquisite form that is why we grow such specimens..to be honest it wouldn't mattter what the tree was unless a very small dwarf
Acer sp would be moving it out from the house so as it grows you can appreciate its full beauty.
For me move it out at least 6m from the wall of the house...ideally it should be in a spot where you can view all sides if you wish to walk around it.
It won't be hard to move at all...BUT to ensure success you must carry out the proper preparation, and take your time...ie I'd be preparing this little ge for at least 6 months...
This is something you could do yourself with some hire equipment or borrowed from friends and with friends help...put on a BBQ or other cultural event involving cooked meats and beer!
If the DIY route is not you then get in touch with a qualified certified Arborist (and check that they have a successful record of transplants)