The crossbody strap works perfectly when I am running around the house with chores. I use the wrist strap when I am traveling or when I am in town. Then I have total control over my phone and it is still handy to use to pay at the cashier.
I love my Moosel hat! It's super cheerful and provides excellent cover with it's wide brim. I also love the fact that it's soft and can be jammed in any bag for a truly on-the-go hat.