Mid 2009 MacBook Pro SSD Upgrade

Hello,

Given its age, my MBP has been running considerably slower over the past few years. I periodically run First Aid on the Macintosh HardDrive and for the past few days it was telling me the disk is corrupt- however, now after running it, is telling me "the Macintosh volume appears to be OK"

I've just purchase a Samsung 850 EVO 250gb SSD in order to solve the speed issue and was wondering how I should go about installing it. At first I was thinking of using the software SuperDuper to clone the contents of my original HardDrive to the SSD, however I want to be as precautionary as I can before going about doing anything.

So my question is, is there any other thing I should do to ensure all my files from my hard drive will be successfully transferred to my new SDD and boot up successfully?

I apologize if the question has been asked before, but as I mentioned I just wanted to make sure everything is good to go before I should proceed. Thank you very much.