Btw. funny (and fascinating) how "dream-rendering" has similar issues with producing realistic hands as LLMs. Similar with continuity issues.
First consciously cultivate interest in your own dreams (through dream journaling, and consciously looking forward to your dreams before sleep). That's the basis.
Then, if it doesn't happen spontaneously, to force a breakthrough you can always set multiple alarms (tip: a smart watch with a vibratory alarm, or... make a baby), to wake yourself and keep yourself on the edge of sleep - into that hypnopompic state (between 2-4 AM works best for most people). It takes a lot of effort, concentration & patience. The only thing about this way of entering a lucid dream, is that you're likely to consciously experience sleep paralysis first, and many people don't like that even though it's harmless and a perfect gateway into lucid dreams.
I had quite a few lucid dreams using this technique, but it has a drawback that you end up having "false awakenings" where you think you just woke up but are actually still dreaming. I've had 7 or 8 of those in a row before. If you have a good reality test (my go-to was holding my nose closed and seeing if breathing lightly would still work) then they are kind of nice because now you have just become lucid again and go do whatever you want.
The whole thing got to be too mentally exhausting for me and I was not feeling refreshed when I woke up so I stopped doing it. I occasionally try to start it up again, but I haven't had the gumption to continue it for very long.
As you can see, there is a huge rabbit hole you can fall down if you look into this stuff, and a lot of places on the internet where people discuss it or give pointers.
Also different people have better luck with different techniques. This one just happened to be my thing, I guess.