While tripods, booms, big-sensor DSLRs, and multiple lenses might offer the best video, for travel such rigs are not ideal. So, what's best for practical travel?
For me, who travels often for business without family, I need to travel light, and find time for quick shoots between meetings - no setup shots, all handheld. The Sony GW77 has served me well - it is small, robust, takes sharp video, works reasonably well indoors too with its f1.8 lens. It lacks good still capability and sometimes the 10X zoom is not enough.
I have found the combination of the Panasonic LX7 and ZS30 to be ideal. Both are pocketable, and I have two pockets.
The LX7 is near perfect for museums - the f1.4 24mm lens is well-suited, and the small size does not distract. But its zoom is limited - a big zoom is needed (outdoors) for getting candid shots without distracting and for shallow dof when desired. The ZS30 has the zoom (up to 560mm) and its small aperture is fine for outdoors (but really limiting for indoors and night shots).
Both cameras take good stills.
I have found that a big zoom is really needed for what I want to shoot, and when I really have to travel light (like in China or India or Bngladesh) I take only the ZS30 (not many indoors shots of importance).
Here are two examples making use of the ZS30:
Shooting big birds (herons) in Hong Kong, not possible with even medium-range telephotos:
In this case the small camera did not disturb the birds, who got used to me stalking them. Guys with big-lens DSLRs would scare them off. It took 8 hours to upload the video from my hotel room, but editing was easy on my Microsoft Surface Pro (I do travel light).
Shooting a street violinist in Berlin:
Here I could get out of the way of listeners, and not disturb the performance.
I'll post some museum video from Berlin, which makes use of both cameras in a few weeks. And then the combos for videos from Barcelona and Kristiansand, Norway.
What has been your travel experience for video?