Congratulations on your first LD!
It's awesome that you managed to stay in the dream, a lot of people get so excited during their first LD that they immediately wake up.
I'm not sure what the best induction method for newbies is, but I believe DILD and MILD are the most commonly used ones.
But it all depends on what you feel more comfortable with, some people have an easy time WILD'ing for example.
As for increasing the vividness and prolonging the dream, there's a few tutorials on these forums, such as this one:
Dream Stabilization and Clarity Tutorial - Dreamviews Lucid Dreaming Community & Resource
Good luck!
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