If this is his third DV case he may be facing a felony charge and mandatory jail time - possibly prison. His best option is to retain a lawyer to help fight his case. It does not guarantee keeping him out of jail, but it may help.
Aaron M. Black
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First of all, if you lie to the police, that is a crime itself so I would never advice anyone to lie to the police.
As far as your boyfriend is concerned, depending on the prior offenses and the nature of his current offense, he could be facing jail or possible prison time. He is at a serious point and should not try and go down this path alone. He needs an attorney.