One thing to watch –
A switching regulator gives a low voltage by chopping slices of the higher current which goes in. This 'alternating DC' will switch the LEDs on and off at the same frequency – usually too quickly for the eye to notice. But it will cause a 'strobe effect' with anything that rotates – just as the switched frames of a movie can make the wheel on the wagon go backwards or stay 'still'. Not a good idea, as it can confuse you – just as tea-time is approaching and your concentration is slipping – to thinking that a rotating part is safe to touch.
the effect can be reduced by using an inductive load or a capacitor (or even both) – or by ensuring that there is also illumination by something that does not produce this effect (such as an old fashioned filament bulb). You get the same effect with some other LED lamps, and it can cause an odd flickering on video recordings and TV signals when LED illumination is used. And it has the same effect when looking at videos of aeroplane propellors, but that is the film being switched on and off, not the lighting.
The use of two LED sources, each with its own different supply reduction, should reduce the effect as the frequencies are not going to match exactly. Use two identical systems and you might find the frequencies match too closely.
Hope this helps avoid problems – Cheers, Tim