Most diaper bags come with a changing pad, and you can also purchase them seperatly, that are used for that purpose. And I have changed a diaper in some strange places because sometimes there is nothing around and you gotta make do! But I always have a changing pad, so I feel my tot is protected.

I have not seen many bathrooms or even family restrooms with a place for nursing, but at one of our malls there is a large room with like 6 changing stations and outside of it there are comfy chairs and couches that are supposed to be used for nursing if needed. That said, while I would use an area like that with a cover-up, I would not want to do it in a bathroom. There should never be a reason why you shoud have to lock yourself into a dirty, noisy, with bathroom. Would you eat in there? Then your baby shouldn't have to either.

With all that said, I personally wasn't comfortable nursing in public- I felt like I was not coordinated enough to not flash someone while trying to get into position and I often got all hot & sweaty even at home if I had to use a cover-up for company. At home I did without the cover-up and if company was over, I would go in my room where I could be "free" and have the fan on, lol. I have used a dressing room in a Kohl's and my car on several occasions though.

oh yeah, especially for the people who wanna touch/hold your baby. so keep it handy
 

With my first, I nursed in bathrooms, my car, change rooms, and nursing rooms that were just as gross as bathrooms! With my second, I nursed out in the open. It was so liberating! I just used my top to cover my breast. I have friends who nurse with part of their breast exposed, and I have NO problem with that, but I'm just not comfortable with it for me.

My favourite way to nurse in public was actually in a carrier, often while grocery shopping!