The compartment seats six, and is slightly more than the price of six individual seats, it is private, however. the shuttle is a standard 95 ton small craft (page 35 of starter traveller book 1 viewtopic.php?f=68&t=446 ) and takes approximately three hours to reach and dock with the highport, a dual torus design at the LEO mid-point of the tether on the south pole of Vijaya. Matching speed with the outer rim of the station, it is captured by a cradle-gantry that clam-shells around the shuttle, drawing it into a hangar. The shuttle trip is in zero G, but once in the hangar, the highport's 0.9G is standard. There are of course security in the hangar area to wand passengers, just about anything other than pistols will need to be stored here, and even pistols are slightly frowned upon, though the station does have a sort of frontier quality. Establishments might also limit weaponry carried into them.
The lower torus is planet-side (where you are docked), the upper is the interstellar, generally travel between the two is either by a lift-tram, or launch cab. Total full-time population of the highport is around 900,000 sophonts.
Where to from here? It is 0600 in the morning (1st day).