The main thing is to make a decision. If your move is a trial speed march for three months, you should get a visa and find a suitable flight. If you want to stay here for a year - which is also quite simple - apart from them, you will need to apply for a residence permit. In both cases, you should start with obtaining a visa - a Schengen one, a national one of the Republic of Cyprus, or a Bulgarian, Croatian, or Romanian one.
The easiest way is to make a Bulgarian multi visa for entry, which they give to Russians for a year. One applies for it at the visa center and receives it maximum after a week. All you need is a photo and passport. With a visa in hand, book a ticket. For details on preferable flights, read the section Flights under Sanctions.
With the above visas, you can stay in the country for up to 90 days. If your goal is to stay in Cyprus for a year or more, immediately upon arrival, you should find accommodation for long-term rent. One of the requirements for obtaining a residence permit is an official lease agreement for at least a year certified by a notary. Keep in view that, on the island, they pay two deposits, a rental for a month, and agency fees - this is the first payment. You can easily apply for a residence permit on your own. Read more in our Visas section.
And remember that when you apply for a residence permit, your status changes, and you are not already on the island on a tourist visa. The request for a residence permit transfers you to visitor status. Therefore, you don’t have to worry if the official 90 days for a tourist visa have expired - you have the right to stay in the country. Also, in the new status, you have the right to leave the country and come back.