Assuming you really do like all four subjects equally and would be happiest in each, which may well change in the next few years, there are two ways to look at it -- in terms of statistics or or extra-medical utility.
As far as statistics go regarding matriculation by major, AMCAS suggests (here:
https://www.aamc.org/download/321496/data/2012factstable18.pdf ) that the more successful majors by percentage of matriculation are the ones whose subject material is more principle-based and less specifics-based. For example, specialized health sciences have lower numbers, and those majors usually entail training students to fill specific jobs -- health administration, therapy, etc. Highest percentages are around mathematics and humanities, which develop a lot of principle-based thinking at the expense of specific training. So on that spectrum, it might be prudent to steer away from Health Management and Public Health, though again, personal interest plays the most important part; I've known Library Science majors to get accepted with enough drive.
"Last hurrah for something unrelated to medicine for a very long time" is the other way to look at it, and it's every bit as important (maybe more). Nutrition and Public Health are both complimentary to medicine, but you're not going to get med school before med school in any case, so looking at them as separate entities from medicine might help you get a better perspective on them to help your career down the road, after school. The same could apply to Neuroscience, if you're one of those lunatics who like the idea of spending free time in a lab.
...and I've given that long-winded spiel so much that I should just make a link for it.
If it were me, I don't like the idea of any major that doesn't entail unhealthy volumes of writing, but Public Health has gotten interesting to me in the past few years, and an MPH might be nice to shoot for down the road. Otherwise, maybe Nutrition.
