Hi Barry,
We use the same equipment that comes in a roofer's kit. We just buy longer rope and don't use the roof anchor. Make sure the weight rating on the rope is several times more than the weight of the person walking the roof. Obviously every situation is different for a tie-off point. If you're 'knot'

familiar with rope use, do a search for 'knots', 'climbing knots', etc. on the net and educate yourself.
The main thing I would stress to you is always be aware of your angles, meaning your line needs to stay as straight to opposite of you as possible at all times. An example would be if you were tied off on the front side of the house and walking the back side, don't walk around to do an end or your angle will be off and you could possibly fall and swing around the corner of the house, depending on the shape and cuts of the building. In some situations, a chimney tie-off works well too, provided you can safely get there to tie off.
If you have any further questions, let me know.