There is really no difference in most cases, except (to me anyway) "getting" is less formal. " which is less of an order. "Can" implies acceptance is expected rather than being volunteered.
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deadrat"i could use your help" is a colloquial polite request meaning "May I have your help?""Can you help me?" does have its uses, however. As a customer in a shop/store, I would use this expression to obtain assistance from a shop employee. In this case, the employee is being paid to help customers, so it is considered polite to ask for and expect help.