LGPL would mean though that I can't charge for the app, right?
Dynamically linking against Qt libraries means that the copyleft is not viral, and your software does not need to be licensed under any GPL-family license.
What you probably are really asking is do I need to release the source code? As long as you are not statically linking an LGPL library... which last I checked a few years ago... mobile required that but not desktop.
Just have the separate qt libraries in the same directory and I believe you should be good.
Thank you very much! Without your comment I would have dismissed this option.