Laptops are great if you need portability. They
are not good for an "always on" condition as they get too
hot, which is the laptops biggest enemy (heat). Also, you
get much more power in a desktop than laptop for the same
money. Laptops are also pretty much throwaways as the repair
cost is out of sight. Laptops are also not as upgradeable as
a desktop.
Desktops are therefore better
for the long haul and also more cost effective (where
portability is not a requirement).
A laptop to be used as a replacement for a
desktop needs at least a 17" screen and pretty good
specs for hard drive, processor, and memory, and
will run you 1000-1500 dollars.