Dear ___,
I am pleased to inform you I will accept the Graphic Designer position you have offered. Thank you for choosing me for this position.
I will follow-up with a phone call to discuss other issues related to this job, such as when you will need me to start, salary, and accommodations while I am relocating. Please keep in mind that I will need adequate time to resign from my current job.
I am excited about starting at (COMPANY NAME) and I look forward to speaking with you again. If you need to contact me for any reason, please feel free to call, fax, or email me. Thank you again for this opportunity.
Sincerely,