Bringing them home
Here is some information on cats.  Some useful advice and such.
Bringing home a new kitty should not be stressful to your new kitten or cat.  Make sure the carrying case has no drafts because drafts are as harmful to humans as cats.

Once home make sure if you have kids make sure to keep them quiet and make sure they don't chase your cat.

You should have suitable toys for your cat and not any small toys that can be swallowed.
Cat Advice
Things that should not be in reach...
So you are bringing home a new kitten or cat?