For the most part, laptop computers should meet the same specifications as their desktop counterparts. This isn't a significant issue for most people, but you do need to be aware of it. Also because of space, weight, and cost considerations, laptops usually have smaller displays. Again, almost all software will work without difficulty, but you need to know not to expect 15 inches.
Active matrix is, of course, more expensive.
Finally, again due to size, there usually aren't as many places to plug things in on laptops as there are on desktops. No matter what kind of computer you get, you may still need some connection hardware .