Transferring SSD Storage

[StrallTech]

So I bought a second hand laptop that worked perfectly fine for me for a handful of months until the hinge on it broke in a way that I couldn't open or close it without risk of damaging the components inside of it. Doing lots of research, I discovered that I would have to get a brand new whole laptop case for it and wasn't able to find one that I could purchase. So I decided to buy myself a new laptop for personal use on the go and the old one would eventually be closed up and used purely for a secondary streaming PC. I want to take the extra storage that were put inside of it (I believe 2 extra 1 TB SSDs, I don't entirely remember as it's been a while) and move it into my new laptop to beef up it's storage capacity. I'm not too familiar though with dealing with multiple storage devices/using old storage modules and moving them to a new PC/laptop. I know what is all on my old laptop and I wouldn't be sad to delete/wipe it clean, but I also wouldn't mind just moving the extra storage over to my new laptop. I'm looking for extra help and info on how I could do this without potentially damaging/ruining parts or software or even losing all possible data that I have on both laptops. Any help and advice is greatly appreciated.