Travel When the fur needs to fly, airlines are making it tricky, costly to bring your pets. Blame COVID-19 October 7, 2020 Chris Woodyard, USA TODAY Comments Off on When the fur needs to fly, airlines are making it tricky, costly to bring your pets. Blame COVID-19 Pet shipment services try to navigate a web of rules, flight restrictions and other hurdles to moving dogs and cats around the nation or the world.