The X60 is one of the few models that can be flashed without external
hardware and most people would say that's easier than a hardware flash.
Other models must be taken apart and flashed with another computer like a
Beagle Bone. The Libreboot install page explains this in gruesome detail
that's beyond me,
https://libreboot.org/docs/install/
I have some pictures of what a hardware install looks like here,
http://tacoma/photo_album/chron/2016/2016_03_19-libraplanet/
If you have mastered the art of flashing by hardware, you should try a newer
and more powerful models you list. The X60 works very well with its own
screen but is a little slow with a 1200x1600 external monitor. The X200, for
example, is excellent with that external monitor. The list of supported
hardware is here,
https://libreboot.org/docs/hcl/
I've written a little about my X60 and X200 use here,
http://50.81.205.197/photo_album/chron/desktop/thinkpad/x60.html
http://50.81.205.197/photo_album/chron/desktop/thinkpad/x200.html
This thread has given me an idea ... Minifree sells USB with GNU/Linux
install media on it to raise funds. Why don't you email them and Libiquity
to ask if they might sell a USB stick that can be used to install an OS that
will flash an X60?