Married Filing Separately

Hello, my wife has started a new job in a different state and received a substantial increase in salary.  We've been advised to file our taxes separately for 2024 and 2025, until our family has moved to the other state.  I have two questions: 

1) She will have the higher salary, so should she claim our dependents on her return?

2) Should I adjust my W-4 for exemptions or other items, and should I increase my withholding?