I have a biased view, I suppose, as the owner of a VMC machine. I can see where Bill is coming from when he says about the axis travel on the GH universal being superior, but I have to wonder how often you would need to use all that airspace. Only you can answer that one For myself, I have found the VMC can do all I ask of it – and more. Over my 6 year's ownership, I've added a DRO on the three axes, a digital readout on the quill feed and power feed to the X-axis (brilliant addition, by the way) and fitted an uprated 3-phase motor and associated VFD . The latter I wouldn't be without both, for ease of use and the improved finish it affords. I specifically didn't want a geared head machine when I ordered mine, mainly due to the perceived noise concerns. I'd previously had a two-speed bench mill which munched its way through gears like there was no tomorrow. But that's a personal choice, again. The VMC appears to have a much beefier column that the GH as far as I can tell from the pictures, so that would sway my choice in itself.
I see that both are out of stock at the moment, so you've got time to make up your mind. A visit to the showroom might help with your decision as well. You've no profile so I can't tell whether you are close enough to warrant a visit or not.
As has been said so many times before when these "choices" threads come up, it's horses for courses- what do you want to do with it – will it fit your workshop – will I need something bigger as soon as I get it? At the end of the day, it's your money and your choice. If it was me, I'd choose the VMC again. Its only drawback that I've found so far is the sometimes limited Y-axis travel – but even then, some adventurous work holding can usually provide a solution.
Whatever you eventually buy, have fun with it an enjoy it for a very long time.
John