‘Thinking’ refers to a process of thought, forming an opinion or judgment. When expressing ‘I am thinking of’ you are letting someone know what you are personally thinking.

Here are some examples:

I’m thinking of checking out the new movie.
I’m thinking of filming my vacation.
I’m thinking of following a healthy diet.
I’m thinking of handing out flyers describing our business.
I’m thinking of increasing my work load.
I am thinking of introducing myself to him.
I am thinking of launching a new website.
I am thinking of moving to a new city.
I am thinking of offering her the position.
I am thinking of opening up a store.

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