When I hear you ask for a module, I think of an Arduino "Shield" but you dont need one of these. You can connect what you need directly to the board, but it will be easier if you use a breadboard.
There is a really good paper here that describes the measurement process and even shows the low-pass amplifier they used to read from the pressure sensor. You can place only the sensor inside the inflated portion and have the rest outside, or you can use a full module that is placed inside the chamber.
You will also need an air pump to inflate, and a solenoid valve to deflate. Both the pump and solenoid use 12V, so you will need a set of relays. Make sure that you have a way to restrict the airflow out, so that it deflates slowlyslow enough to get precise measurements.