Shipping is totally safe! A good breeder or shipper will pack their animals securely, with heat or ice packs to ensure temperatures remain within acceptable levels during transport.
When we ship animals, they are usually packed from about noon until 4 pm, with ice and/or heat packs as needed. They're picked up by 4:30, and are to their new homes between 10:30 am and 4 pm (depending on how rural the area is their local FedEx delivery route - we ship priority, but not all areas have priority delivery drivers). Less than 24 hours in transit in 99% of cases
It is important to note weather - spring and fall are good times to ship animals as it is fairly mild throughout the country, ensuring that it gets neither too hot nor too cold during transport.
Shippers can use shredded paper, packing peanuts, crumpled paper, or even cloth to cushion the animal in the shipping box. Shipping boxes are also insulated with styrofoam, and should be thoroughly taped top and bottom to keep them sealed.
Enjoy your new friend, where ever you end up getting it from!
-Jen