Chinaberry?? - not a species I am familiar with and the way it grows maybe I don't want to get too familiar, esp given Raging bull's experiences.
Well done on the ID guys.
When you say trim the stems Shibui, should I also trim the long stalky branches that have no growth at the bottom of the tree, and should I also move her to an area in the garden where she’ll get direct sunlight and no wind? It does get quite hot here so I am concerned her leaves will burn.
The others have confirmed this is a very tough tree which means you can cut anywhere and be confident new shoots will grow. It also means you can cut right down low even if that means there is no leaves left on the tree. It will look like you have killed it but new shoots will emerge from the stems and grow again.
If you are not that brave then cut the main stems wherever you are happy initially and see how well it responds.
No new shoots will grow on the bare lower parts while the tree is allowed to grow up. Its plan is to grow as tall as possible so low growth is just a water of energy. You will have to exert some influence and convince (her) that new shoots low down are necessary by chopping all the taller ones. Normally new shoots grow close to where the trunks have been cut so if you want low shoots you have to cut low.
Re watering: I'm currently watering every day down here to keep my trees happy. When watering the tree needs a good soak so that water gets right into the centre of the root ball, otherwise the pot just gets a bit drier every day as the roots keep sucking water out. The more roots in a pot the harder it becomes to water properly as the roots fill all the spaces in the soil where water should go. Eventually it becomes impossible for water to penetrate and the tree will decline rapidly.
One way to get round this is a weekly soak in a bucket to make sure the soil and roots are properly wet. At some stage you should consider a repot where some roots are removed and fresh soil added. We do this every few years to make sure there is room for new roots to grow. Regular repotting keeps potted plants healthy and happy.
Good luck with your China Doll.