Varna is the main city on the Bulgarian Black Sea Coast.
Information about flights to Varna is available on the web page of
Varna Airport.
You can also fly to
Bourgas Airport
which is at about two hours drive from Varna.
The buses from Bourgas to Varna
are at approximately every one hour; the last for the day being at 18:00.
There are shuttle buses as well which depart when full.
From Sofia one can get to Varna by train or bus.
The trains cover the distance for 7 to 8 hours; the cost is 10 - 15 EUR.
The buses are a bit faster, more expensive and at every half hour.
Check the
Bulgarian Railroads
and
Sofia Central Bus Station
sites for details and timetable.