My second bin sounds like yours.
Learn proper emergency braking from someone - practice it too - trick is brake hard, keep eyes forward, keep steering straight. As you practice you'll become more and more confident and will be able to brake harder than you thought you could and still control the bike.
I was taught emergency braking at Ride Right Ride Safe course - dunno if they do Wellington but a Mentor should point you in the right direction.
Any bin you can walk away from is just a learning experience.
All the best.
In space, no one can smell your fart.
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