i always used a light blanket and no one would even know, i remember finishing one time and then burped baby and my friend didn't even know i had been feeding. out in public you can still be discreet and i think thats the thing, we imagine just letting it all hang out but it doesn't have to be like that.
there are BF blankets and tops designed for BF, no one should be embarressed. yes maybe sometimes you might feel more comfortable BF in a mothers room if it's a nice one it may be more comfortable. but if anyones says anything, well don't get me started LOL

don't be embarresed. BF babies are smarter and healthier than other babies, just tell yourself that . also BF babies are less likely to be obese when they grow up too.

good luck whatever you do.