They're exactly the same thing. 'Sofa' is more common in British English and 'couch' is more common in American English, but any native speaker would understand you whichever word you used. The word 'couch' makes me think of a 'psychiatrist's couch'.
By the way, don't say 'Chesterfield' in Britain, because nobody would understand that here, either. It's the name of a city, not a piece of furniture. When I googled the word, all the sites were American.