By plane
Kuala Terengganu's Sultan Mahmud Airport TGG has around half a dozen flights per day to Kuala Lumpur 1 hour on Malaysia Airlines (http://www.malaysiaairlin...) and AirAsia (http://www.airasia.com). Fares to Kuala Terengganu varies with Malaysia Airlines, offering as low as RM136 full service and AirAsia with as low as RM60. Firefly (http://www.fireflyz.com.my/) links Kuala Terengganu directly with Subang Airport in Kuala Lumpur.
By ship
In season March-October, there are two ferries a day from the central Shahbandar Jetty direct to Redang Island 75 min. These are operated by and intended primarily for guests of the Berjaya Redang Resort, but they'll take non-guests on board for a price if there's space.
Most travellers to Redang, however, will go via the main jetty at Merang, 45 min north of town.
By bus
The long distance bus station has buses to all main Malaysian cities outside Terengganu : Kuala Lumpur 7 hours, Penang 7-8 hours, Johor Bahru 9 hours, Kota Bharu 3 hours, Malacca, Kuantan.
Transnasional (http://www.transnasional....) also runs buses direct to Singapore 10 hours, S$36/15.10 to/from Singapore.
The local bus station has buses to most places in town and in Terengganu : Merang for Redang, Kuala Besut for the Perhentians, Dungun, etc.