Advice Best Way from Rome Airport to Termini and Tiburtina?

We are three of us, landing in Rome. One of us has to go to Termini Station and the other two to Tiburtina. What's the best way to do this? Should we split up right at the airport or is there a convenient way to travel together for part of the journey? Looking for suggestions on the most efficient and cost-effective options. Also, any tips on navigating Rome's public transport with luggage would be appreciated.