When I was there in December I had no problem carrying my insulin, needles, glucometer etc... into the parks. I take the Levemir and Novalog in the pens which use the screw on needles. I kept my insulin with me at all times and either went in to the bathroom or found a bench away from people to take my shots and check my sugar. I have some trouble walking at times and getting to the first aid area is not always a reasonable option. I found that doing my shots in the bathroom stall was too small for me to do my injections as I cannot stand to be crowded - makes me jittery. (I refuse to use the larger handicapped stall since there are others who need them for actually using the restroom.) I then tried to just find a spot in the bathroom away from others, but it never failed I would get an audience - I wanted to tell these folks to keep staring cause I might do a trick for them. Anyway, I finally found that going to a secluded spot somewhere was my best option. I cannot give my shots through my clothes so I would pull up my shirt just enough to do the injection, making sure nothing (especially my belly) was over exposed (the most amount of skin visible was an inch). If we were eating a TS I had to suck it up and do my shot in their restroom. I would never do my shot at a dinner table - that would be so disrespectful in my opinion.
The only problem I had was there was no place to dispose of my needles. I am sure there was a sharps container in the first aid place. I used an empty small water bottle to dispose of them in. I just recapped the needles, put them in it and disposed of it when I got home from the trip. I wish they had sharps containers in the restrooms. Many places where I live have them. It really helps out.