I think the phrases "Magic Your Way" and "MyMagic+" are the same thing.
Then, "MyMagic+" is a catchall phrase for talking about the FastPasses, the MagicBands you wear on your wrist that store the FastPass/reservations, and the app/website you go to in order to make all these reservations.
They took a really easy concept and confounded it with so many buzzwords and catchphrases, that the average first-time visitor can't really tell what the Disney folks are trying to say. Here's a website that explains the terminology briefly: (oops won't let me post links)
Since YOU are staying ON-site, your hotel will mail you the MagicBands if it's more than 1 month until your visit. If less than 1 month, they'll hold them for you at check-in. BUT you DO NEED TO CALL NOW and tell them you want MagicBands mailed. They're free (because you're on-site).
MagicBands are basically just for convenience. I guess some people don't like pulling their ticket out of their pocket for each ride, so they figure wearing a bracelet is easier.
If you were staying OFFsite but still wanted the convenience of the bracelet instead of pulling your ticket out of your pocket, then you have to pay for the bracelet (MagicBand) yourself. $13. (oops won't let me post links)
Personally, I didn't like having the bulky MagicBand on my arm all day. And, although it's supposed to work as a door key when I stayed at the Polynesian, mine kept getting demagnetized and I had to keep walking all the way back to front desk for a key.
On my upcoming visit, I'm staying off-site, and not paying extra money for a bracelet. Gotta love cargo pants!
P.S. That info is, to the best of my understand, correct -- but if I've stated something wrong or am ignorant about something, PLEASE SOMEBODY CORRECT ME! I'm trying to learn this stuff too. Not happy about all the pre-work required to just have 1 fun day in the park... but am trying to adapt to "the new ways".