What you're running into, in terms of the places where the photos don't join up seamlessly, could be one of two issues. It could be that you missed covering that part of the scene (blank screen; no data), and it could be that you created some parallax error by moving the camera in space, rather than rotating the camera's lens around its "no parallax point" (sometimes erroneously called the nodal point).
This can be very very difficult to correct if you're handholding the phone (camera) in some situations (i.e., shooting inside a small room). It can be relatively easy to correct in others (shooting outside with no subject matter particularly close by). The trick is not to move the camera in space, but to rotate around the lens's no parallax point.
The easiest way to do this without error would be with a tripod and a special panohead (see: How are virtual tour photos taken?) with a tripod adapter to hold the phone (or maybe a special smartphone setup), but this might be more gear and expense than you want to go to. Another technique you could consider is using a plumbline attached to the phone (a trick known as a philopod). You mark a spot on the ground, and make sure that as you're rotating the phone, the weight is always over that spot.
I would recommend turning yourself, but to think of it as doing it around the phone's camera. Try and consider the phone's camera as a fixed point in space.
As for having your feet in the shot--just make sure they aren't when you take the member shot. You may have to do some interesting bodily contortions to get away with this. :)