There aree only 3 parts make up of a band, pouch, band, tying thread.
Attaching the bands to the frame The rubber attachment is a vital part of the slingshot: A bad one kills your bands, makes the slingshot inaccurate or can be very dangerous. Be sure to choose one that fits your kind of bands and slingshot.
I think this guy has got the core points of how to make a homemade slingshot band
Attaching the bands to the frame. The point where the rubber bands are fastened with a pouch is vital in several ways. First, its failure can lead to a band snapping back into your face....that's horrible.
DANKUNG really has many useful skills and tips and tools on how to do it well.
20-meter DANKUNG Ribbon Specially for tying flatband

3 meters small rubber solid band 2mm diameter

When i saw the video i wod think to my self: it´s a lovely way to shoot. Immediatily i buy 1745 and now i am trainning... try yourself too.
I've learnt that surgical tubing is the mosted used for serious homemade slingshots. But in my opinion, 'homemade' doesn't mean you must use material in home. You can use any material as long as you make them at home. I used to buying commercial tube in meters and make my own bands at home which should be 'homemade' too.