Size
The Standard Poodle is far larger: about 25 kg (55 lb) as an adult, against 9.1 kg (20 lb) for the Bedlington Terrier.
Exercise
Plan for a moderate amount of exercise with the Bedlington Terrier, and a modest amount with the Standard Poodle.
Temperament
They differ most on affection (Bedlington Terrier: a lap or leaning dog; Standard Poodle: affectionate on its own terms) and on independence (Bedlington Terrier: cooperative, with its own ideas; Standard Poodle: keen to work with you).