Thanks to Peter for letting us in on his secret recipe for deodorant, which having met Peter personally I can assure you works just fine!
5-6 tbsp coconut oil
1/4 cup baking soda
1/4 cup arrowroot powder or cornstarch.
Combine baking soda and arrowroot powder. Then slowly add coconut oil and work with spoon until consistency is right. Should be same consistency as shop bought but can be applied easily with fingers - and zero waste (plus no nasty chemicals)
Weleda, a natural health company, has almost 100% recyclable packaging, with the deodorant coming in glass bottles, in cardboard boxes. Available at whole-food stores.
Lush produce solid deodorant bars that are extremely effective. They can be picked up at a store or online. If purchased online Lush report the bar would arrive wrapped in 100% recyclable Lush paper and in a cardboard box. The courier bag is the only rubbish, which when turned inside out can be re-used.
Your local pre-school, kindy etc may be in the practice of taking clean old roll-on deodorant containers for reuse as no mess paint applicators. To clean your container prise the ball out with something flat, small and strong.