I have seen people mic it from low on the back side of it. don't know if thats the "right" way of doing it.
They are usually against walls. So I vote on not moving the piano
I have recorded quite a few uprights in peoples houses (against walls), and it's a real pain to get a good sound out of them in this situation...however spaced omnis would be my choice. But not facing into the lid, you get way too much mechanical noise (of which there is a lot in an upright).
Actually what I prefer to do now after some experimenting (starting point at least) is to place a pair of spaced omnis about 6-12 feet back from and 1/3, 2/3 piano width either side of the performer (about standing head height) and put an NT4 directly over the performers head facing the open lid (with a little clearance so they don't whack themselves), and then find the most pleasing blend of these two mics...the NT4 picks up some nice attack with a very natural sound (from the players perspective) and the omnis give a nice sense of space/stereo spread. I'll also put a touch of reverb on that in post to try to make the room sound a little bigger.
...did I say I hate recording pianos in domestic environments
digifish