Hi Andy,
My suggestions would be to bring multiple cameras to shoot the scene. As a minimum I would suggest two cameras capable of 4K video. Set one up as a wide shot for the whole launch pad and surrounds to the full height of the vehicle and another framed in tight to the vehicle on a good quality video fluid head tripod to track the vehicle during takeoff and climb until it disappears. Also of benefit in that situation would be a power operated zoom to smoooothly zoom in as you track the liftoff and disappearance to infinity. Get a nice tight framing of the engines during launch.
Then when you get home a little video editing/action music to show us your exploits. BTW make sure you are setup to capture the audio of the rocket takeoff. It might clip the audio level. It's a wonderful cackle sound if you can capture it. See this video from 15seconds before launch (at 3:10elapsed time) and listen to the incredible rocket engine roar that can be heard starting from around 3:40 and really getting full by 3:50 onwards ...
Preferably play it on good loudspeakers rather than a through a laptop to get a sense of the guttural roar.
Have a great trip.
Best
JA