Which method is more acceptable or more common for a person who is a part-year resident in two states and has income fully withheld in one state for the entire year?

-Part-year residency in two states. -Income withheld in one state for the entire year. What method is more acceptable: credit for taxes paid to another state or sourcing income? If the sourcing incom is calculated, one state refund is large, and another payment is large, even if the same payment is owed. Thank you for your advise.