After a baby is born you have little time for yourself. It could be a great confidence booster providing everything is right. Face shape, hair texture and density as well as lifestyle are all important when making a decision over your hair.
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Firstly, I would think about going for something that is low maintenance yet still very fashionable like a bob/graduated bob.
These styles will always look well kept with little effort as they are structured haircuts that fall into place. Providing you do not have curl or natural wave in your hair these could be two good options.
However if you do have natural wave or curl then time spent blow drying would be essential.
If this seems too much of a change, then you could always go for some long soft layers introduced into your hair cut, either with scissors or preferably a razor. This would give your hair a soft light layering technique that would reduce drying time but give you a new soft layered hairstyle. This would still allow you the added luxury of being able to tie it back for ease when the babies feeding time comes along.