Either ubuntu or debian would be ok to use.
loading all the tools from bt to another distro would really not be worth your time, nor would it be that easy to do. It may even be impossible.?
As for learning it looks like you are one the right track.
Some pointers to help keep you moving would be to get more comfortable with the command line, making, renaming, copying, and deleting files etc.
Also start looking at the logs and what the info in them contain and mean.
generally @ /var/logs/ or so.
Vi is a good editor, little steeper maybe on the learning curve than say nano but its pretty universal.
Hope that helps out a bit, good luck