You can take stunning photographs of the corona using a camera, a tele-lens with a focal length of 400 or 500 millimeters, a stable tripod, and a shutter-release cable. The best thing to do is to take an exposure series from one five-hundredth up to one second, and to overlay the images later on your computer. This will enable you to prevent the external corona from remaining dark while the internal area is overexposed and bleached out.
Shortly before totality, make sure to reset your lens on a distant object such as a mountain peak. Some mirror optics exhibit a pronounced thermal response such that during the considerably cooler totality phase the focus may no longer be where you set it in preparation for the eclipse! But the critical factor is time. Two minutes of totality seem to pass like 20 seconds. So don't try to do too much, just try to enjoy the show!