On cleaning, go very slow as you can't put back the paint or pin striping easily once it is gone. In my experience, there are as many ways you will find to clean tools as there are people who want to clean them. Have seen some heated arguments over this.
On the unpainted surfaces like the bed, I will use some very fine Emory paper with some light duty oil or even WD 40. Normally that is just light surface rust that will come off after a little work. You can take it all the way back down to shiny metal or stop with some patina left.
On the painted surfaces, I actually use something call Fuller Brush Wood Cleaner and Polish. Got on that cleaning other tools that had both wood and metal on them. It comes out as a foam spray and left on for a while will help to clean all the built up dirt and grime. Then use some of this artificial steel wool that is made from plastic. think that is a little less harsh on the painted area. It leaves a pleasant smell as well.
Perhaps somebody has a stand somewhere that will fit and you would have a nice foot powered lathe.
Thanks Ed
