You can train yourself to remember dreams if you start writing down everything you remember.

You can also learn to recognize that you are in a dream and take control (look up lucid dreaming).

As with the above posters, any idea if regularly dream journaling (and potentially lucid dreaming) is actually healthy or not?

I say this as someone who gets pretty bad nightmares and has had numerous lucid dreams (even transitioning from nightmare to lucid dream)

I have no idea if further engaging with my dream state is healthy or not?