1. How can I move money from my bank account to his?
2. He has moved to Harvard.
3. He took the streetcar and moved to the bus.
4. How can I move transfer from my bank account to his?
5. He has transferred to Harvard.
6. He took the streetcar and transferred to the bus.
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Q1: Are they all grammatical? Can we use 'move' instead of 'transfer'?
Q2: When 'transfer' is used as a verb, do we stress the first syllable or the second syllable?
1, 2, 5, and 6 are fine.
4 will be fine if you write, "How can I transfer money from my bank account to his?"
3 is OK, but I wouldn't use it. When referring to buses and such, "transfer" is the better word to use.