Two suggestions using methods that have worked well for me many times
These solutions will require a USB to SATA adapter. There are many available but your location might dictate what is easy to get. USB-SATA adapter images. Startech is a common one here in North America. Startech USB-SATA adapter
Given the drive does not ship with cloning software, I would suggest something like Symantec/Norton GHOST and simply attach the SSD via USB/Firewire or whatever you have and then boot with GHOST. You can then clone the drive from the laptop to the SSD and all data will transfer.
You could also use Symantec System Recovery and image the drive using that in a similar way to GHOST If you are cloning from the X60 series to the newer X220 then System Recovery is a great tool as it will restore to different hardware. It works very well.
Not sure what the heat problem is you mention. Can you elaborate? Not sure what "no separate line for energy as some XYZ-other-cord" means. I have transfered many systems using the above tools and not had any issue.