For the love of Lindley Murray, please can people stop using "myself" and "I" when they actually mean "me"?
"Myself and DP..." is never correct (at least I can't think of an example when it would be correct to begin a sentence in this way) and just sounds pretentious. "Myself" is a reflexive pronoun, or used for emphasis: "I hurt myself" or "I wouldn't do it like that myself".
"I" is for when you are the subject of the sentence (i.e. you are the one doing it): for example, "DP and I like to go dogging at the weekend."
"He came dogging with my DP and I" is wrong as "I" is being erroneously used as an object pronoun in that example.
In short, "me" is not a dirty word, even if "dogging" is.
Sorry, I know some people hate grammar threads that stray outside Pedants' Corner and I fully expect to be jumped on for any minor solecism I may have inadvertently committed, but I'm running out of patience with this one.
Oh, and while I'm at it, you're most probably "lying", not "laying", unless you are some sort of bird.