Depending on what the item is going to be used for (like if it's a keychain or small sculpture) I will reinforce the limbs with metal pins to make them more durable. Most of my items are very small, so if they are fragile, I put them in kraft, cotton-filled boxes. If not, in an organza or decorative paper bag. If it is a bit bigger item, I will wrap it in bubble wrap, put it in a bit larger box, and put that in a bubble mailer with paper padding. I ship everything in bubble mailers and wrap many in extra bubble wrap if it's not in a box. And I write Fragile on everything, even if it's really not, because I've had gift boxes smashed in the mail by careless postal workers. I hate how they just toss your packages into a box like it's nothing.
And I always put a hand-written "Thank You!" on the back of the package with a sticker. Customers seem to really respond to those extra touches.