I did follow through and use the vinyl channel to better direct the Dioder lighting although I didn't slip it over the glass shelving like I thought I would. I found when it was slipped over the glass, it opened up the channel and took away some of the angle I was going for. I ended up using thin, clear Velcro tape to mount the vinyl channel and mount the light strips to the channel; I used Velcro so I could easily replace the light strips if they burnt out. After mounting all the lights I ran the wires down the hinge-side of the Detolfs and out the front, hiding the white wires with black corrugated wire wrap...or whatever it's called.
I don't have much to share as far as part numbers:
1) Ikea Dioder lighting...I put one strip per shelf, which is a taste thing.
2) Thin, clear Velcro purchased at Home Depot...I purchased a 15 ft. spool so it could be cut to length and it's cheaper than buying the little squares and cutting it up; the "thin" part means there's not a lot of material between the parts you have stuck together...it has a low profile (if that makes sense).
3) Vinyl Channel. I tried searching for it online but had no luck; it's located in the paneling section and would probably be used for bathroom paneling.
4) Small (tiny) cable ties.
Here's what it looks like from the front of a Detolf:
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Side view of the mounted vinyl channel and the angle of the light strip:
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Wires exiting the case:
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