Congrats, Ray, those generators cost almost $2,000.00 new and are considered among the best anywhere.
The plug for your rig sounds like a 30 amp RV plug. Be sure that you don't plug into any outlets that ALMOST fit, because there is a 240 volt 30 amp outlet that will fit if you force it, and it will fry everything in your trailer. This is not a concern at campgrounds, but if you hire an electrician to put in a plug at your house, they may not know the difference.
Your Honda 3000 puts out 2600 watts on a steady basis and 3000 watts during momentary "surges". Your cord and the main breaker in your trailer can handle up to 3600 watts on a steady basis. As said, the A/C is the biggest load (and a microwave if you have one). The A/C will likely need ALL your 3600 watts when it starts up on a hot day, but only about half that when it runs. This means that your Honda will probably be overloaded because of the first moment's surge of power required. This is a frustration we all deal with.
If you're made of money you can buy a second Honda and connect them together and you'll never run out of power. Have fun!!