Whatever you've got unless you want to forgo immersion and buy a ship just for this.So what ship do I bring to help out? I have an Asp X, but could go buy a Python.
And how should it be equipped?
Just load it up with as many passenger cabins as you can fit; the rescue ship next to the station has outfitting facilities, including cabins and heatsinks, so you can just land there, reconfigure your ship and then do the short hop to the station.
It's not particularly challenging, you just need to get in and out without delay, pop a heatsink or two off as you are landing and one when you take off. You take a tiny amount of heat damage (< 200 cr) as you are going through the launch animation before you leave the pad and can pop a heatsink but can repair that at the rescue ship. I just stripped out my Krait (including the shield after the first run) and could cram in 110 economy class passengers each run.