There is on-street parking on the High Street and the Whitton Car Park TW2 7BD behind Iceland, accessed via Nelson Road
Whitton is well served by train being on the Windsor to Waterloo mainline operated by South West Trains. Further information and to plan your journey https://www.southwesttrains.co.uk/plan-your-journey/network/whitton-london/.
Whitton is well served by a number of bus routes; 110, 281 (24 hour service), 481 and H22 connecting Teddington, Twickenham and Hounslow to Whitton. Information about stops timetables can be found on TFL's website http://content.tfl.gov.uk/bus-route-maps/whitton-a4.pdf
There are various on street bike racks along the High Street.