Went back and adjusted the brakes today. Seems like the levers were the correct type. At least the front brake worked perfectly almost immediately. The rear one is giving me a bit of grief. The cable keeps sagging, and I'd be happier if the caliper arms were a couple of milimeters longer - the pads are not fully aligned against the rims. The wheels are also not as aligned as I thought - but luckily, my proper new truing stand is here, and here's a perfect chance to use it. But never mind that, the gears are connected and sort of aligned, and I can do a test ride tomorrow, then deal with the finer adjustments.