I don't know a thing about this type of tree but if you don't want those lower branches start by cutting them back. In a couple of years you could completely remove them, the trunk and other branches will be larger by then.

I would probably do as Wayne suggests; subordinate those big branches and that will slow them down. This tree has awkward branching even in the best of circumstances, btw. Where are you? These are widely used as street trees around here.

Yeah, and I've got two others with equally awkward branching! I like the suggestion and you and Wayne are making; if I cut back those very low branches then in a few years I should be able to see how the upper branches are developing and perhaps fully remove the lowest branches. (Location: Berkeley)

It's going to take more than a few years.

You did not say but how far from the ground are those two heavy branches. The ones around hear are trimmed such that the first braches are about 5' from the ground.

but I know I don't want a big lollipop beginning at six feet! ...... what sort of shape will the tree develop into?

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what shape do you want?? ... set a goal.. and work towards it ...

you told us what you dont want.. tell us what you do want ...

here is how you look at them.. when they arent around: https://duckduckgo.com/?q=Chinese+Pistache&t=ffcm&ia=images&iax=images

your red marks are not in proper pruning places.. i presume that the marks are just to get your point across ...

the tree will develop in tree time .... and pruning for the ages.. takes a long time ... you just have to have faith .. that if you remove what you dont like ... that the tree will evolve into a more natural shape.. that will please you.. and if it doesnt .... you keep guiding it ...

do you know all about pruning.. and what a good pruning saw is.. etc???

ken

If you begin to subordinate those two branches it will slow down their growth relative to the rest of the crown. But this is not a tree that is every going to have a graceful shape or branch structure so don't torture yourself. And the above comments are correct; this is a slow process. However once you really pay attention and know what to look for, you'll see the results of your work.

These trees have drop-dead gorgeous fall color - a salmony pinky-orange that when backlight is enough to make you stop in your tracks. Other than that they are not remarkable. There is a line of them up on the hill above us to the East and in autumn when the sun comes up I can just sit and gaze at them! They are too far away to observe branch structure...