Here's a salary negotiation script to negotiate your job relocation package.
Dear Mr. Recruiter,
Thank you for offering me the Marketing Director position in Seattle. I’m excited about the position, and I’m confident that I can contribute a lot to the company.
Before I can accept however, I would like to discuss compensation with you. I am currently living in Moses Lake in Eastern Washington making $70,000. While the salary you offered me of $83,000 is more than what I make now, the cost of living in Seattle is much more expensive than living in Moses Lake, making my actual pay worth much less than what I make now.
For example, according to the CNN Cost of Living Calculator, housing in Seattle is 71% more, utilities are 31% more, and transportation is 19% more. I would have to make at least $91,000 in Seattle to continue my same standard of living. I would really like to work for Company Z, and I’m excited about my future potential, so I am willing to transfer for $89,500. I hope that we can come to a mutual agreement.