I just started on teriparatide and need to buy one, too. I've read good things about this product family: https://4allfamily.com/collections/all

There are a lot of different types to choose from. I haven't figured out which one to buy yet but I will need one for traveling for up to a week on a motorcycle which means I'll need a power source to keep it cool. Those also come with freezer gel packs in case you don't have a power source handy and will keep the medication cool for up to 30 hours.