I've finished up the LED Stair lighting project! It was about 6 hours of work in total to install and wire everything. My next step will be cleaning up the stair faces and carpeting the tops of the stairs. In the mean time though my stairs are now much safer now that the stairwell is not so dimly lit.
For a list of parts check the bottom of this post.
Without further ado here's the finished product!
To accomplish this I used the following parts:
LE 16.4ft LED flexible strip tape (2x): https://www.amazon.com/gp/product/B00HSF65MC/ref=oh_aui_search_detailpage?ie=UTF8&psc=1
Ksmile 20M 20AWG wiring: https://www.amazon.com/gp/product/B0119IE4C6/ref=oh_aui_search_detailpage?ie=UTF8&psc=1
LED Wholesalers 60w 12V LED Power Supply: https://www.amazon.com/gp/product/B003WOIVRU/ref=oh_aui_search_detailpage?ie=UTF8&psc=1
Cofufu Dual Row 5 Position Screw Terminal Stips: https://www.amazon.com/gp/product/B010UDG6NG/ref=oh_aui_search_detailpage?ie=UTF8&psc=1
Uxcell Dual Row Terminals: https://www.amazon.com/gp/product/B01MFEOTSW/ref=oh_aui_search_detailpage?ie=UTF8&psc=1