All white strips cause some sensitivity - you're bleaching your teeth and that causes a little bit of pain, but it's only temporary and should go away. Word of caution: don't be one of those people who uses 5 strips a day for half an hour when you're only supposed to use one for 5 minutes. That what causes the permanent damage - trying to make them work faster than they're supposed to and not following the directions.
The daily multicare will probably be a little more gradual than a 10 day formula, but you should still see some results within the first 2-3 days which will gradually get better and better. If you're worried about pain, the one you have is the way to go because it should be gradual enough to avoid too much sensitivity.