Moving hundreds of thousands of files (mostly images)

Hello everyone.

I’m pretty blind in terms of data transfer so I would appreciate a way out. So my phone now barely had any storage since I hoard many pictures for years to the point it reaches 120k+ files. I don’t have access to any desktop at the moment as my laptop is broken, do you think it’s recommended to get an SD Card to move these files? And if yes should I get the one with plenty space or decent transfer speed?

Thank you very much in advance.