Here were the items I used:
1) Deepwater Aquatics Quattro Media Reactor:
https://www.amazon.com/gp/product/B016E448OY/ref=oh_aui_search_detailpage?ie=UTF8&psc=1
The above item is discontinued, but you could order an alternative
2) Two Little Fishies Ball Valve:
https://www.amazon.com/Two-Little-F...D=41qkfH3l9dL&preST=_SX300_QL70_&dpSrc=detail
3) Kedsum 320gph pump:
https://www.amazon.com/gp/product/B072C5YZ3C/ref=oh_aui_detailpage_o04_s00?ie=UTF8&psc=1
4) LED grow light:
https://www.amazon.com/gp/product/B01EZTUYRA/ref=oh_aui_detailpage_o06_s00?ie=UTF8&psc=1
5) 1/2" vinyl tubing:
https://www.amazon.com/gp/product/B004DL0Y9O/ref=oh_aui_search_detailpage?ie=UTF8&psc=1
The build is very easy. Wrap the LED grow lights around the reactor and attach at the top and bottom with zip ties. Just put your pump in your tank where you want it. Cut an appropriate length of tubing to reach the intake (top-middle) of your reactor. Cut this tube into two pieces and attack the ball valve. This can be used for two purposes. (1) keep the water from siphoning when you turn off the pump and (2) adjust the amount of flow from the pump. Then run a piece of tubing from out outlet (top-side) of your reactor back to the tank. Place a ball of macro algae (like chaeto) into your reactor, then tighten the lid back down. Turn on the pump and let the reactor start running to ensure there will be no leaks when it fills and returns water to your tank. Then, plug the light in! I have my light on a timer so it runs in the evening when the display lights are off. Also, you could theoretically put a media bag with carbon into your reactor. You could potentially do away with your canister filter then.
Concerning your question about the algae die off, it is difficult for it to not have what it needs in the reactor. It is safe from predators, has a very intense and CLOSE light source (somewhere between 400 to 600 PAR with how close the light is), and has all available nutrients flowing through it. I did not have much luck growing chaeto in the sump for my 125, but the reactor grows it like crazy. If yours turns out like mine, there will be minimal growth for a week or maybe two, and then the growth will explode. I have to empty my reactor every 3 or so weeks so it doesn't get too full.
I hope this helps!