Welcome to the site.
I've installed two hub motor kits, and I don't have any idea. There are 100+ suppliers of kits, some are great, some are horse *******. I've never run across either brand you mention in my web crawls. What continent are you on? Country?
I bought two trash batteries, then bought from the number 1 kit supplier in our country, luna. #3 works. So paying a premium for products from the big guy works, IMHO.
I'd say with the industry moving to 48 v at this time, finding a controller that will work at both voltages, 36 for your old battery, and 48 for your new one when that wears out, may be key. A 15 A controller is a bit obsolete with 1000 W 48 v requiring 26.5 A controllers. I don't really need 1000 W, but those kits are the cheapest on amazon/e-bay.
Edit, I checked the cyclotricity website, and it appears the 250/500 W hub motor is a LY like I bought from e-bay in the US. Price seems okay for basic goods. Cyclotricity is in Scotland, they say. My LY-48v-1000 direct drive wheel works: the controller has no pedal assist which I miss. At little higher price point, I bought a $330 geared hub kit that had PAS with a minimum speed of 11 mph, plus a throttle. 11 mph is too fast for bad pavement or off road, but that kit had plenty of power. Just I never got over 13 miles with it, I pedaled home with a dead system twice. See bad batteries story above, I may have had a good kit, just haven't tested it with the new battery yet. (It's out at the summer camp, I'm in winter townhome). Don't forget the optional torque arms on any but the heaviest of 70's or earlier steel frame. Have a body grinder handy, plus safety glasses. I had to grind out the slot on the fork to make the geared hub work, and I had to grind the axle fat part narrower on the direct drive hub to unload the pinching of the frame on the sides of the motor, which has no internal thrust bearings & locked up on me at first pedaling it.