If i claim my mom, how should my dad file his return?

My Mom had no income, my dad has income but just over the limit for me to claim him as a dependent. They both live with me and I cover more than half their expenses. If I claim my mom as dependent how should my dad fine his return? MFS, MFJ or Single? I want to claim my mom so I can file HOH and will get a bigger return than if my dad claimed her.

Some background info:
My Mom: $0
My Dad: ~$6K - $10K
Me: >60K
also married to a non-citizen with $0 income
Asked Jan 25, 2010

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