A lot of monitors that advertise HDR support really shouldn't. Many of them can decode the signal but don't have the hardware to accurately reproduce it, so you just end up with a washed out muddy looking mess where you're better off disabling HDR entirely.
As others here have said, OLED monitors are generally excellent at reproducing a HDR signal, especially in a darker space. But they're terrible for productivity work because they'll get burned in for images that don't change a lot. They're fantastic for movies and gaming, though.
There are a few good non-OLED HDR monitors, but not many. I have an AOC Q27G3XMN; its a 27" 1440p 180hz monitor that is good for entry-level HDR, especially in brighter rooms. It has over 1000 nits of brightness, and no major flaws. It only has 336 backlight zones, though, so you might notice some blooming around subtitles or other fine details where there's dark and light content close together. (VA panels are better than IPS at suppressing that, though.) It's also around half the price of a comparable OLED.
Most of the other non-OLED monitors with good HDR support have some other deal-breaking flaws or at least major annoyances, like latency, screwing up SDR content, buggy controls, etc. The Monitors Unboxed channel on YouTube and rtngs.com are both good places to check.