Breastfeeding in public is one key skill that any breastfeeding mother must try to master (unless you are prepared not to step out of the house until your baby weans).  Once you acquire this skill, the benefits of breastfeeding will be more obvious :
 
(a) You really don't need to depend on bottles and formula milk even when going out, hence cost savings, as well as convenience since you don't need to lug around bottles and stuff.

(b) You don't need to restrict your outings or go through the hassle of finding nursing room while your baby is crying for food, hence the convenience aspect of breastfeeding really coming through.

(c) You will be able to soothe a fussy baby in public simply by latching your baby on to suck for comfort whereas other formula feeding mommies are in despair when bottles of formula milk are not able or not available to soothe their babies.

What you will need

Most Asian moms are shy when it comes to breastfeeding in public.  A lot of people even frown at the sight of a mother nursing her baby in public.  One thing you must have if you want to master the skill of breastfeeding in public, and that is a very thick skin.  Thankfully this can be developed over time.

Another thing that  you will need is some good nursing tops.  They will help you to breastfeed discreetly.  An alternative to nursing tops is simply any tee shirt (preferably a bit loose but need not be a big loose tee that makes you look like you are wearing a pillow case), or any open front blouse/shirt, and couple that with a nice shawl (e.g. stylish pashmina)/big scarf/your baby's nice receiving blanket, etc.  I used to use a muslin diaper which was meant to be Dominic's burp cloth. 

When you need to feed, simply throw your shawl or scarf over your shoulder (the side that you will be feeding from) and pull up that side of your tee shirt, or unbutton enough of your open-front shirt and pull aside, under the covering of your shawl/scarf, bring baby under the shawl/scarf and latch baby on.  And yes, this does mean that you should know how to latch your baby on with your eyes closed.

Tip 1 : Try to match your shawl or whatever cover cloth you are using match with your outfit. Treat it like another piece of your clothing, an accessory you are wearing, and not just a piece of cover cloth.  It looks much better and provide better camouflage.  If you use a very contrasting piece of cloth, or something that will catch  attention (e.g. a dirty and worn out piece of old multi-colour towel), people will certainly take notice and wonder what is that piece of thing doing over your shoulder.