Yes, you can drop your luggage at your Disney resort, and you can pick it up whenever you come back for the night from bell services. They'll give you a claim ticket you'll want to photograph in case you lose it, but you take it with you.
Link your tickets to your account beforehand, and they should be available via the mobile app to scan at the park entrance; no physical card needed. (Your mobile app is also how you'd link the tickets to Magicbands if anybody in your party has them.)