Generator recommendations

I just bought a 2720 Trailmanor. For the past three years I have owned an Aliner Expedition. I use a Honda 2000eu generator to power the fullt equipped Aliner. I have been told that the 2000eu will not be adequate for the Trailmanor, mainly because of the larger A/C unit.

I am asking for recommendations as to what generator I should get. Brand and output recommendations would be greatly appreciated. Thanks in advance..