Instead of using a host system that is already installed you can (should...) use the LFS liveCD. I say should, because none of the other distro's are really suitable (out-of-the-box) to build LFS (they need to be made suitable).
A number of years back, I successfully made a Linux From Scratch system using a Knoppix
live CD with minimal-to-no changes. Unless things have changed, that should be an option as well.
The full-blown desktop environment in Knoppix might be more familiar than the stripped-down environment on the LFS LiveCD. You can get the job done with either, but knowing that you've got a full suite of apps at your fingertips might be more reassuring.