I'm going to disagree with <PERSON> and offer a counter answer from the opposite perspective.
TNG's technology level when it comes to computers is similar to our own now. As is almost always the case, they under-estimated computers... Or did they? We are reaching the limits of what can be done with 2D silicon wafer chips. We've already reached the limit on individual clock speeds of processors. It will take new kinds of technologies before we can begin again with the growth of the past.
Let us assume, then, that we can't. What if quantum computers prove impossible or impractical? What if the raw computer power never gets more than 2 or 3 times better than we have now? What would our devices look like? A lot like how they are used in TNG.
Everything that can have a computer in it, will. We see this in the general modularity of components in the show. Random assortments of uni-task devices being combined to perform new tasks. 693
Taking a phaser and some other doodads and making a force-field. Creating a tractor beam from spare parts.
Networking, wired and wireless will become adhoc and ubiquitous, transfer of data can be done seamlessly between all devices. Everything is compatible because it is all based on 200 year old standards.
PADD - the future of hand-held, ebooks and ipads:
The future of laptops and desktops are a combination of the two:
And the core computer, obviously is a mobile data-center and super-computer with huge volumes of data. Probably many petabytes or more. Where we can expect the PADD to handle a few TB and the lap/desktops to be able to hold 10-100 TB.
Reading, listening, watching can all be seamlessly transitioned between as the codecs are hundreds of years old and the ship's main core is powerful enough to do the transcribing with high accuracy, possibly on the fly.
So why carry around PADDs? Why do we carry around iPads and Laptops rather than emailing data to people? Why do we still meet in person and work in cohabitation when skype exists? Because it is communal and social to do so. The PADDs are an excuse for human contact, something it is well-known we need to function properly as an animal.
Can they just send the data over the network from terminal to terminal effortlessly? Sure, and in all high-tension moments in the show that's exactly what you see them doing. They don't run PADDs during a fire-fight. They only run PADDs when things are calm and during day-to-day interactions.
I find that completely reasonable. 634