two month old and crib

Sarah
So my little one has acid reflux and hasn't liked sleeping on her back since two weeks old ... She will sleep in the swing and maybe nap in bassinet for half hour 
I want to transition her to swing at some point in the coming weeks 
We transitioned her out of our room and she now sleeps in her swing in the nursery 
Her reflux is now managed well with meds, I also bought a crib wedge for her crib so she can be elevated slightly to help with reflux 
Suggestions tips advice ?!