I have a Chinese Elm I got from Amazon (!).  I kept it inside for a couple of months during with winter and it grew some runners.  When the warm weather started to return, I moved it outside and cut off the runners. Here is what it looks like now:
 
It looks pretty scraggly, so I cut off all the foliage on the top and they are starting to bud: 
 
It still looks woody.
My question: should I cut away the woody parts?  If so, how severely?  I am aiming for something like this:
I am also trying to grow seedlings and cuttings from my river birch.  I have several pots with cuttings in them that I have just left under the birch as it dropped its seeds this year.  There is a lot going on in this pot: 
. You can see the cuttings (very slow to deploy their leaves), the seedlings from last year and the seeds form this year.
I plan to just leave them out until winter and water them. If anyone sees anything else I should do, please let me know.