Bright and vibrant are subjective – I see no reason why you can’t shoot the actual screens and colorgrade in post to achieve the look that you want.
With regards to methodology, I’ve shot on a black screen and used the Screen and Add Blending Modes for the screen inserts. If lit well, you should be able to extract a luma matte of the fingers/hands that intrude into the screen area. This eliminates the requirement for rotoscoping the fingers/hands. Ensure that the talent doesn’t move the fingers/hands erratically. Not only will this make it easier for post but also leads to less distraction for the viewer (completed movie).
You may also want to shoot a safety still of the black screen – to capture the screen highlights. This shot should be orthographic and of a high resolution so that it can be used in conjunction with Corner Pin tracking data to overlay over the screen inserts.
For tracking the screen/phone, there’s nothing better than mocha. It is ideal that you have at least three corners always in view – not a strict requirement for tracking with mocha but it does lead to a more trackable surface area.
HTH
RoRK
Intensive mocha & AE Training in Singapore and Other Dangerous Locations
Imagineer Systems (mocha) Certified Instructor
& Adobe After Effects CS6 ACE/ACI