I wouldn't recommend swapping afterwards, moving devices around is a good way to confuse a bootloader and run into problems.
I think you should create your installation medium, remove the Windows SSD from laptop, install your new one, then install Linux.
You won't need anything special to transfer files, but keep in mind windows 11 uses bitlocker by default, you'll probably want to disable that while windows SSD is still in the laptop, otherwise that drive will remain encrypted and inaccessible by Linux.
Good luck!