I am by no means an expert, but this is something I am trying to do at the moment, argue more effectively.
Try the following....
Approach the conversation with a problem-solving attitude instead of simply setting out to place blame. A good response for your problem could be something like this: "Neither of us has time to handle every little chore around the house. It doesn't seem to make sense when things have to be done twice. I'd like it if we could sit down and work out a some basic rules for both of us." Then follow through. A reasonable position, if discussed in a reasonable manner, is much harder to dismiss than over-generalised, angry accusations.
An important part of this strategy is recognizing your DH's position, as well. For example, he may rebut your suggestion of some rules by becoming defensive and saying, "I work all day, and when I come home, I just want to relax."
In this situation, you should acknowledge his position with a simple affirmative: "I realise you work hard." You can then move into laying out your own position: "I work all day also keeping the house tidy, and I feel keeping up around the house would be easier if we had some basic rules in place." Notice the lack of you statements in this strategy. These tend to come across as inflammatory whether they're intended to be or not.
A big consideration in planning your argument strategy is knowing, despite your best efforts to remain calm and reasonable, your partner may not reciprocate. Arguments have a way of becoming one-sided.
If you're not getting through to your DH, and he is becoming angry, you shouldn't give in to the urge to match his hostility. Remaining calm and anti-accusatory will allow you to end the conversation at the point where you know it's not going anywhere - i.e., "Maybe we should talk about this later, once we both have a chance to think about things."
This may also work to your advantage because your civil, rational behavior will reflect all the more unfavorably on your partner's overreaction, and may result in his personal reflection on the root of the argument. Once he has time to realise he reacted inappropriately, he may be more receptive to your position at a later time.
I'm not promising anything, but this kind of thing is helping me at the moment. Its very easy to have the same argument again and again without anything changing at all!
One final thing - pick your arguments. I can totally see why this pees you off. But try to think of all the things he does that annoy you and pick which ones you can live with (i.e. ignore totally, not silently seethe about) and which are worth arguing about.
Finally, I'll shut up, and say GOOD LUCK! Let us know how you get on!
Duke.