Umbrella. Small collapsible ones are preferable, if only for the sake of convenience and storage,though anything will really do. You won't be sacrificing this to the photography gods or anything: all you will be doing is modifying it in a way that will neither affect the waterproof qualities of the umbrella nor the aesthetic qualities, so you can use your usual umbrella for this without any fear of losing its functional purpose. If you'd rather not risk it, though, umbrellas are very cheap to buy, and you don't need a high quality one for photography.
Reflective spray paint. Most people go with gold (warm) or silver (cool), though other colors of reflective spray paint can be used for more unusual lighting and color effects. If the selection is available, try to go for a spraypaint that is especially made for use on fabrics, as that will last longer.
Old newspapers. You're going to be making a bit of a mess, and unless you want to risk getting spraypaint all over everything, having a large quantity of scrap paper is a good thing.