A standard jet airliner is used to transport all the 40 selected future colonists from Orly airport, Paris to Guyana, where an Ariane rocket is waiting for transport to the Moon.

The Ariane rocket is of 20th century design for unmanned spaceflight. Therefore it had to be completely redesigned. This renewed Ariane (Ariane Nova) has a standard ESA shuttle fixed on top. It flies into space from the launch site in French Guyana, near the equator.
The old Ariane rockets brought cargo as far as Earth orbit but the renewed design can bring a group of 20 people to the Moon, on autopilot. That makes it a TII spacecraft. On the Moon the awaiting EMTraveller has room for 40 people so two Ariane rockets fly after eachother.
The combination of Ariane and ESA shuttle has proven to be very reliable. There has never been any major malfunction.
Nowadays 40% of the departures use the Ariane / ESA Shuttle combination. 60% use the Mars Shuttle which will eventually take over the job completely.

The Mars Shuttle, powered by a plasma engine, is the next generation of TII spacecraft. It was designed by the Mars Engineering Institute in Areopolis. The MEI-built prototype proved to be so reliable, that the ISA took over the project. The Mars Shuttle became the new standard for TII spacecraft. Nowadays it is used by many ISA countries and of course by EMT itself.
It is launched at the ESA launchsite in French Guyana. Unlike the Ariane the Mars Shuttle can bring all the 40 future colonists to the Moon at once, having room for even more people.

These new state-of-the-art spacecrafts are equiped with a fusionengine with three outlets. It generates a constant burst of energy which gives it an enormous speed. The traveltime depends on the trajectory choosen. The fastest, 1st class trajectory takes you to Mars in 30 days. Next there is a 2nd class of 60 days and finally a 3rd class of 90 days. To compare, 'The First' flew 6th class reaching Mars in 6 months. The different trajectories are only possible during launch opportunities which have an almost 2 year cycle.
The ship has room for 40 persons. They don't have a lot of space, but this will be soon forgotten when Mars begins to get bigger and bigger. The ship operates on autopilot leaving an emergency crew of 4 persons who are colonists themselves. They are selected during the ESP to follow a crash course in manuel flighing the ship needed for an emergency. This hasn't been necessary so far and because the safety regulations are extremely high it probably never will.
This TIII machine was designed by the renowned Lunar Space Technologies established at Lunapolis. They are also being build on the moon, with materials mined from the Moon.

Small shuttles are used for Earth-Moon-Earth transport [fixed on top an Ariane rocket] and for ISS-Moon-ISS transport. It lands horizontally on Earth and on the Moon. It has room for 20 people.

The Anderson Space Elevator, a nanofactured superstrong carbonwire placed between Earth surface and an asteroid in Earth geostationary orbit.

A Space Bus, a new design people carrier which uses a small fusion reactor for propulsion. It has room for 200 people and has helicopter like manoeuvring capabilities.