My latest video is actually a 'Vlog Style' video as I drive, Recently Drove back to California from the Midwest after the holidays... Usually don't do 'vlog style' videos, but I was just sitting there for hours and thought I should shoot something as I'm really just driving and wasting time...
.... I had more planned but got pulled over by the cops because of "inattentive driving" so the video got cut short, haha.... You can see it all in my latest. BUT I would say, make sure your mobile camera is decent quality... I was worried because usually I shoot with a DSLR, high quality, but I got away with shooting with my phone because I have an iPhone 6s, still pretty good quality.....
Plus, if you're shooting with your phone (or something that looks like a phone) in public, people are going to be less freaked out or uncomfortable because people shoot video with their phones all the time.... it's when you're doing a shoot in public with a tripod and DSLR and bigger equipment when attention really starts to draw and might mess with your shoot, and perhaps, mess with your head, and you wont get the great takes you want from yourself..... Hope that helped!