Depends, different people do it different ways. Will you have a car?
What we do, we have a car. On the morning of change we get up as usual, which for me is around 6:30 or so cause I'm old, finish packing and go have breakfast. Then I call down to the front desk to check out, sometimes they tell me I have to go to the front desk, sometimes they just say o.k. There is a way to not have to checkout but I always just call. Then load the car and move to resort #2, check in and either store the bags if room isn't ready or drop them off at the room. Then off to a park. If the room isn't ready, we head to a park and just play it by ear as to if we go back when we get the room ready text. Sometimes we do, sometimes we don't. I always pick early checkin as my first option, I really don't care about room location or view.
If you don't have a car, WDW used to transfer your bags for you, I don't know if they still do. You could always Uber to resort #2. Either way, I'd go ahead and go to resort #2 and let them store your bags instead of having resort #1 do it. I've found it always helps to let them know you are there just in case a room comes open early.