In reply to dread-i:
I would not give my personal data to anyone, but backing up all personal data and then cleanly deleting everything is a chore. No problem, though, because DIY disk change is dead easy.
1) Buy a new internal hard drive, definitely SSD, and a fitting USB case.
2) Do not faff around with a Time machine backup, but install a program like Carbon Copy Cloner able to make a 1:1 copy of our disk. The full version of CCC has many more features, but you only need the free trial version. Other programs are available, but CCC works reliably.
3) Plug the new drive into the USB case and hook it up to your computer.
4) Make a 1:1 copy of your disk. CCC tutorials are on youtube.
5) Remove the old hard drive. Again, tutorials are on youtube for your specific model, but it will all be unscrewing the back panel of your laptop (the special screwdrivers are useful and are available at most electronics stores), unscrewing the bracket that holds the drive, and unplugging the drive. Possibly there are one or two strips of sticky tape that you may have to lift.
6) Insert the new drive, and provisionally close the back panel.
7) Start the laptop again, everything should be as before, down to where icons are placed on your desktop.
8) Open the backpanel again, fix everything in place properly, and you are done.
9) Use the old drive for your time machine, or chuck it into a drawer as an offline, single time point full backup.
Took me about 20 mins, with another hour or so for the cloning software to do its thing.
CB