Be careful on those if you have an SSD. SSD have a limited number of times that they can be written to, and the way your average file shredder works is to write several times over that location.
Unless you have reason to believe someone is diving on your system, deleting it and doing your normal routine should be enough, just making sure that you remove the drive when you get rid of the system. Just the normal creating more files will help to scramble deleted data.
So, if I'm looking at a new laptop, should I avoid SSD and stick with "normal" HDD for longevity and security?