There are many flights to Portugal and Faro airport is the easiest and closest for access to Praia Verde.
The links below will take you to the most common airlines serving the Algarve:
EasyJet.com - Belfast, Bristol, E. Midlands, Gatwick, Liverpool, London (all airports), Newcastle
Jet2.com - Leeds/Bradford, Manchester, Newcastle, Blackpool
Thomsonfly.com - Bournemouth, Cardiff, Coventry, Doncaster, Gatwick, Manchester,
BmiBaby.com - Birmingham, Cardiff, E. Midlands
FlyGlobeSpan.com - Aberdeen, Durham, Edinburgh, Glasgow
Ryanair.com - Dublin, Shannon
British Airways - Gatwick, Heathrow
Monarch (flymonarch.com) - Gatwick, Luton, Manchester
TAP Air Portugal - usually fly to Faro via Lisbon
Airtours.co.uk - flights available from most airports to Faro
Cheapestflights.co.uk or 0870 428 2401
Note that flights are also available to Spanish airports at Cadiz and Seville, which are only a few hours drive from Praia Verde.