With plane: Airport is only 7 km away. Bus line, taxi and rent a car leads from airport to Seget Vranjica. http://www.split-airport.hr/opcipodaci_en.htm  
http://www.germanwings.com http://www.skyeurope.com
With train: Split train station is connected with whole Europe via Rijeka and
Zagreb. http://www.hznet.hr .
With bus: To Split and from Split there are buses witch drive into larger Croatian and European cities. They all more or less pass through Trogir.
With boat:   http://www.jadrolinija.hr/ . Nearby there's a marina, and in context of apartments you have assured mooring for little boats.
Private car: There's a large parking place for all our guests.