Under construction...
You may choose to pre-purchase your shuttle bus transfer online, from the Larnaca Airport to Nicosia.
Go to the Kapnos Airport Shuttle page. https://kapnosairportshuttle.com/home
Choose your "From" and "To". Those would be "Larnaca Airport" to "Nicosia Station". Then select the date and time. The shuttles, generally, leave Larnaca Airport every 1-1.5 hours, but exact times are provided when booking. (Note, if you miss your shuttle due to flight delays, Kapnos says "In the case that you miss the bus, you can use this ticket for the next scheduled bus, which might be on the next day.".) You then select the number/age of travellers.
At this point, you'll see the cost (9€ for adults), and you'll be prompted to create a user account (email and password creation required).
After you activate your account through your email, you can login at the site above, and go to purchase. Your address will be requested.
Payment may be made by VISA or Maestro Card only.
After completing payment, you can click "download itinerary" to get a copy of your itinerary. It may have just been me, but after clicking "download itinarary" ( orange button in the middle right of the page), I had to login again. That may or may not be the case for you. The PDF download included all of the information I had entered, including the bus time.
It indicated the information to get from Nicosia Station to Solomos Square (city center):
If you wish to travel From/To Nicosia Station to Solomos Square, you may use the intercity buses 158 and 160.
It also indicates that you can take one 20kg suitcase and one item of hand luggage per person on the coaches.
Tickets for the shuttle may also be purchased inside the airport. More information coming soon.....