There are two main sizes that led's come in, the 4 digit number indicates the size of the led bulbs. 3528's are smaller and less bright, 5050's are larger and brighter. I'm using a similar strip in my case, but the 5050's. That particular kit you linked to appears to be just the light strip, controller and remote, no power source which is why they're so inexpensive.
If using one of those type of led kits I would look for one that comes with a power source as well so you don't have to buy it separately. They're usually a power brick similar to those for laptops and they typically plug into the wall outlet (or power strip) and would have to have the other end of the power cable routed into the pc case.
Those like the ones bob0011 mentioned are powered internally off the psu. I think the nzxt hue strips are magnetic. Many strips use double sided sticky tape though a lot of times it can be a hassle and not work that great, pretty common to have to use extra double sided tape or something else.
I used hot glue for mine since it peels off clean. It depends on the size of your case and how you wish to set up the lights, the 5m strips like in that link are somewhat overkill however they're designed to be cut every so often so custom lengths can be created. For a larger case that can be a good thing, I ended up using around 6ft or so to go around the inside of my enthoo pro case.