Hi BohdiZhafa,
Welcome to the forum.
Unfortunately, the chute (IMO) is not the place to learn how to use your equipment. People have died on the chute leading up to Trail Crest.
That doesn't necessarily mean that you should cancel your trip. You could plan on hiking to Trail Camp - you'll gain some familiarity with the trail and the views are incredible.
I am in a similar situation. I have permits for June 3-4 and my father in law will be here visiting from NH. We are currently looking at alternate hikes b/c we do not have experience with snow climbing equipment.