I got mine a gazillion years ago and they don’t make them anymore, it’s a Nature Bright Per3. I don’t recommend any current Nature Bright lamps, but look that one up to get an idea - it’s a small bedside table style lamp with a clock, sunrise/alarm feature, and one of those articulated swiveling heads like a reading lamp. Each of those details (clock, alarm, swivel) is great, look for something like that. It also needs to be 10,000 lux, but now that LEDs are cheap and everywhere, that should be easy.

And yes, the operative thing is that they’re obnoxiously bright. They’re supposed to be as bright as the sun (if they’re 2 feet away and the sun is its usual distance away). Ideally it’s pointing into your eyes at an angle for 30 minutes while you’re doing something. Some people say first thing in the morning, others say as close to noon as possible. Regardless, because you want to aim it at yourself from a specific distance at an angle, some sort of pivot head is a very good idea.