All babies have sensitive skin, but some have skin that is more sensitive than others. Your new baby's skin is going to be a challenge for a little while, but you shouldn't overdo it in the worry department. If you find that the newborn skin your baby has is extra sensitive, there are some things you can do to help them. Also remember that though you may think you are being too rough, there is not much you can do about some of the things that are going to happen while you care for your baby.
Newborn skin is soft. It is so soft you may spend a lot of time nuzzling them on the cheek or feeling their little feet. Just remember that when they are very young, it is not a good idea to do something that can tickle them. They can not yet laugh to release the 'energy' that tickling is going to produce in them. When they can laugh, keep it light so it is not overwhelming to them. You may notice your fingers leave red marks when tickling if they have extremely sensitive skin. This does not mean you hurt them.
In fact, most newborn skin that is especially sensitive is going to turn red wherever you touch them. The lightest of touches may not leave a red mark or spot, but most things like changing a diaper, picking them up, and change clothing is going to mark up the skin. This type of red mark is going to go away very quickly. If not, someone may have been a bit too rough. When they get stronger, we often feel that they can take a little more, but newborn skin is sensitive for quite a while.
Newborn skin can also be prone to rashes that come from drooling or from feedings. Babies are sloppy and any type of liquid that sits on the skin will cause a rash. If you notice red bumps on the chin or around the neck, it could be that is what is going on. If the rash does not go away with care, ask your pediatrician if something else is going on. It can be hard to keep the neck dry on pudgy babies, but do the best that you can. Their newborn skin needs extra care that only you can give. They should grow out of it, but for a while, you will have to use care. Keep diapers changed often and use powder (if approved by your doctor) to keep moisture from the skin.
There are many other things that can irritate newborn skin. Clothing items made for babies are usually okay for them, but some babies may need soft, natural fibers against their skin. Some adornments can irritate sensitive newborn skin, though they do not bother other babies. Keep your eyes open for red marks and find the cause of all of them to eliminate the problem. Don't forget to get a detergent made to wash baby clothing items that have no dyes, fragrance, or harsh chemicals. This will go a long way towards keeping baby skin healthy and soothed.