Keep using your new pedals and shoes, soon enough you'll wonder how you ever did without them.
Set the release tension to the minimum, increase it when you feel you need to(I still have pedals set that way 10+ year later.)
Start with one foot clipped in, but don't try to clip in the other foot until your moving, and steady. You can push on the unclipped pedal without being clipped in by putting your foot on the pedal with the cleat in front of the pedal, i.e. the arch of your foot will be on the pedal.
Practice unclipping both feet. everybody has a dominant foot that they unclip first, practice using the other one. And practice unclipping both at the same time.
Practice riding slow with both feet unclipped, a good skill for riding in heavy traffic.

Welcome to Club TOMBAY!

And BTW, this will only happen when your stopped, or almost stopped, so don't fear the clipless.