By road
BR 101 is a main Brazilian Federal road who connects Recife with Sao Paulo, Rio de Janeiro and Salvador on the south leg; and Natal, Joao Pessoa on the north leg. The state also has BR232 and BR 408 which connects with another state cities and Campina Grande BR408.
By Sea
You can arrive in cruise ships at the Port of Recife (http://www.portodorecife....) or at the Fernando de Noronha Archipelago. The cruises come from Europe usually Lisbon and Malaga or from the Americas usually Miami, Buenos Aires and Santos.
By plane
Recife has a large international airport with daily non-stop flights to Lisbon, Madrid, Miami, almost all Brazilian state capitals; and also has seasonal charters from Frankfurt, Milan, Paris and Buenos Aires. Caruaru, Petrolina and Fernando de Noronha have regional airports.
By River
You can arrive in Petrolina via the Sao Francisco River. The navigable part of the river covers the states of Minas Gerais, Bahia and Pernambuco.