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#11
It will be a 9.5 mm thickness HDD in the Laptop hence space, and depending on the mounting arrangement in the Laptop you may or may not need the spacer, or you might need some small sticky back plastic/foam bits, whatever, to stop any rattling around. A look and see jobbie.
Crucial, Samsung, WD are well known manufacturers, any of them should be suitable.
Crucial come with a spacer, in UK Crucial components are cheaper via other suppliers.
I would get 500 GB, you have to think some years ahead when even your minimal applications will double in size, and of course those yearly Windows version updates need room to work in.
"Does a higher drive capacity need a bigger thickness?"
No, not with SSDs they are almost always 7 mm thick, wise to check just to make sure.