I am not sure if I agree with telling children fibs. However, I do not have a problem bribing them. Have you tried making a reward chart so she can earn a prize? Maybe for every sippy cup she chooses over a bottle she can put a star on the chart. I would make it really easy at first. Maybe five stars the first day, 7 the second, and so forth. What about using peer pressure? It was a great help in potty training by 2 1/2 year old son by having play dates with other children close to his age who were potty trained. Maybe having your daughter spend time with another 3.5 year old (who has a really cool cup) and let her watch her friend drink from the sippy cup. Also, My 14 month old will lose interest before finishing his bottle when I switch the type of bottle he is drinking from or the temperature of the liquid.