sounds like it's the main relay for our cars. I have an accord too, but fortunately, it hasn't happened to me. Sometimes when the weather is either really cold or really hot, it messes up the sensor in the relay. therefore, the car doesn't usually start right or get up and going until it reaches the right temperature.
another common problem with 4th gen accords is the distributor assy. They had a recall a while back because so many of them were defective and so was mine (twice). I was driving down the highway on 264 when my car's distributor decided to go out on me - sucked balls.
on another note have you checked your fuel filter?