Ikea hack to the rescue!
The idea was to use a picture frame, hanging from the top edge of the mirror, and filled with LEDs. This would put the light where it needs to be, be easily adjusted or removed, and allow for the wiring to be tucked behind the mirror's edge.
I used a 30x40cm picture frame from Ikea called "Mossebo". I chose this one specifically because it allowed you to have the picture close or far from the glass. This gives the frame the depth required to contain the LED lights.
I really wanted to use the colour adjustable Dioder light set so i could simulate different kinds of lighting warmth (apparently this is important). Unfortunately that version of the light can't manage the warm white of the plain Dioder, which is the most important tone! So i saved ten bucks and went with the fixed light Dioder set instead. Maybe a dual-light setup in the future could address this?
There were two ways to fix the lights. Forward facing is the most traditional and throws out the most light, but it would make the frame bulkier. Side firing lights would look sleeker, but would sacrifice functionality. I had to test the output.
Discarding the transparent, card sheet, and backing layers of the Mossebo left me with the frame, the cardboard spacer, and enough of a cavity to just fit the Dioder strips!
To save a lot of unnecessary wiring, i cut the plug off the power adapter and joined it directly to the power wire from the frame (AFTER feeding it through the hanging clip!). This bypasses the 4-way adapter box and the thicker run of wire with the in-line switch. It's FAR tidier now.
Like this? See my other Ikea hacks!