...what kind of print do you do so that it can be kept for longer time without any damage?
I generally don't worry too much about archival quality or longevity of my prints; I'm cheap and use a dye-based inkjet printer, rather than a pigment-based one. But since I do the prints on my own printer on photo paper that I can easily purchase, I figure I can always just print out a replacement if the one I hang on my wall fades or gets damaged. My digital file is my original (just like my negatives are).
Pigment-based inks, however, are supposed to have better longevity, and of course, getting good archival-quality paper that is low in acid content helps towards making an archival-quality print. You also want low-acid ink, frames, adhesives [hinging tape/tissue], and mat and mounting boards if you use them. But most importantly, how you hang/display/store the prints will go a long way towards extending the print life. I've heard of folks using UV-filtering glass on frames if they're really paranoid about prints fading, but it's probably most important to simply make sure they're not hung/displayed in direct sunlight.
As with any paper conservancy, storing prints away from light in a cool, dry place in archival storage containers of some kind (acid-free cardboard, mylar sleeves, etc.) will keep nearly anything from fading for a very long time.