Everyone already gave you great ideas, but I'm here to tell you how awesome that basket you linked in your original post is.

I'm injured right now and I have a knee scooter that I push around my house. I have that same basket (in black) on the front of it and it's really well done. The little rack attaches to your handlebars and your head tube with velcro so it's easy to remove and doesn't damage the paint job. Then the basket itself will lock into the rack by just lowering the handles. When you lift them, it lifts right off. It's really nicely designed.

I wish I'd seen the red one before I got my black one! Super cute!