Some time ago I bought a ring light for my camera. This puts a bunch of super bright LEDs around the lens for illumination with no shadows. Works very well and wasn’t that expensive. It is great for taking pictures of small items. I’ve just discovered that you can get something very similar for well under a fiver.
The Wilko Multi-purpose LED light is actually a very good light. We are going to use one to light up our summerhouse in these dark winter nights. However, it also has a hole in the middle where you can put a small camera lens, and so it also makes a rather good ring light. At less than a fiver it is well worth a look.
Worth tracking down, whether you are after lighting up underneath the stairs or taking interesting close-ups.