Driving to London from Maidstone at night

Hi everyone! I just moved to the UK and am figuring out the best way to get to London at night. I know the train is usually the best option, but since they don’t run all night, I’m considering driving closer to London and parking somewhere where I can catch a 24-hour tube service or a night bus.

Does anyone have any suggestions for good places to park and transition to public transport at night? Thank you!