dCore's .ashrc has built-in alias for df, du, ls, cp, mv, rm. Think Tiny Core has a built-in for 'ce=/etc/sysconfig/tcedir/'. Extracted default TC7 core.gz but couldn't actually find where this information comes from, /home is unpopulated, /root has no .ashrc , didn't see it in tc-functions...
In dCore i add these to .ashrc for quick navigate, as /home, /opt and /tmp are easy this is good:
alias te='cd /etc/sysconfig/tcedir/'
alias se='cd /etc/sysconfig/tcedir/sce/'
Not sure if you want to condsider a couple extra defaults for fresh installs, thanks for consideration.