Term limits for judges, senators, or members of Congress would all require a constitutional amendment.
The President has no role to play in the process of amending the constitution. They do it without him.
Also, it's not going to happen.

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The other stuff mentioned in the article can be done with simple majority in both houses and the White House agreeing.
They can make Puerto Rico and DC states.
They can add seats to the supreme Court.
They can set up a system where a seat will open up on the supreme Court every so often regardless of who dies or retires.
They just can't kick any of those judges off the court.
Until you amend the constitution, the only way to remove a federal judge is to impeach them.

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