I had the same thing, it would rough idle when first started, but become worse if I turned the AC on or put it into gear. I'd just had my fuel filters replaced so thought they may be bad and restricting fuel flow, but got a different mechanic to look at them and he said they were good.
He suggested a fuel system cleaner, I used Penrite. He thought maybe some dirt got dislodged when the filters were being changed.
The fuel cleaner did the job, runs like new again.
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