This is what I'm picturing as the main station 'platform' per person. At the end of the single rail is a cart dispenser and a Sensor Block (The one in the picture is a 'any' block, but I can probably reset it to where it only registers empty carts coming in, to make it less messy.) From there, there's the Dismounting Rail (which kicks people out of the cart) and then a Holding Rail (Holds carts still, while keeping the direction they were traveling. This is mainly for outgoing traffic.)
A closer look at the cart dispenser/cart sensor. The basic ghist is that the cart sensor will see the empty cart coming in, thus activating the cart dispenser next to it and sucking it up as it hits the end of the rail. When the button on the cart dispenser is pressed, a cart is popped out, hits the boost rail underneath the dispenser, and slides to the Holding Rail.
A closer look at the trestle I was using, but from that point it's your typical 30 Standard Rail, 1 Booster Rail design. The mainline will be using High Speed Rail between stops, for extra speed, but the concepts and design are more or less the same between the two. Using Boarding Rails/Holding Rails before the turnins to these stops (as well as stations) will ensure people can make sure they're going the right way on the lines, as well as give them some control over where they're going. Also, TURTLES!