Location: United States, so ordering things online with fast delivery shouldn't be a big issue. I will be in Europe in mid-February, and will need to have this working before I leave.
If what I end up purchasing has the capability for multiple colors, that's great, but I really don't need that if a better/cheaper option exists with just white or off-white colors. But I think that a string of lights all connected that are individually addressable are the easiest to essentially plug and play, so I'm not spending a bunch of time soldering together wires for each LED light.
As far as the exact look of the lights goes, I think that they are clustered in groups of 3 in the video, but for the effect, I don't think it's going to be particularly important that they perfectly resemble the bulbs themselves. The most important aspect is that the lights can be programmed to perform a similar effect where they move from the bottom to the top in order.
Also, I do not plan on affixing a string of lights to the outside of the jacket. I am going to be cutting small holes through the jacket (I already have a super cheap, old jacket I'm going to use), and keep all of the wiring between the exterior shell and the interior lining of the jacket so I don't accidentally disconnect something. So, in the amazon link I sent, only the tip of the light would be exposed. This string of lights might be easier to work with, since they have a lower profile than the ones I linked to first. They also have slightly longer distance between lights, which might be helpful. Assuming about 3.5 inches between bulb in the lateral direction, that's almost 3 feet across the width of the jacket for 10 lights. I could get about 5 rows of these lights with a single order. 10 rows with 2 strings, and if I need more, I can add a third or fourth string of lights.
I'm imagining about 10 lights in a "row" across the main part of the jacket with a slight height variation to match the more flowing look of the original. I was going to start by buying two sets of these 50 light strings, connecting them together, playing around with them and programming the basic pattern, and making sure I have exactly what I need while connected to an outlet. Then I would buy another set or two if I really needed the additional lights, and then finally figure out the battery situation so I have a reliable source of power on the go. The last aspect will be actually sewing/attaching the lights to the inside of the jacket when the lights are programmed and power source is figured out. Then just tweaking the pattern a little to get the look I'm after.