I would definitely not use alcohol laced with glycerine and wintergreen, and...I don't think you're supposed to use a hammer!
This video looks more reliable:
How To: Take apart and repair Lenovo x220t / x230t
The service manuals for these machines are also online. Lenovo's term is
Hardware Maintenance Manual.
A search for
thinkpad x220t service manual
turned up the manual for my laptop. Substitute your model for 'x220t'.
If that doesn't work, you might want to try this third-party archive:
Hardware Maintenance Manuals - ThinkPad (download links)
Index of /support/hmm/hmm_pdf (files).
The hardware manual for the X220 explains the disassembly steps and gives specific instructions on the amount of thermal paste to use.