Back when I had my first baby, it was common for people to use a cradle position in a ring sling (baby lying horizontally like you would cradle in your arms). That position turned out to be easy to position wrong, blocking baby's airway (chin to chest). I thought the position was uncomfortable for me anyway, so I always used an upright tummy-to-tummy carry in the ring sling. That is now the recommended position for safety.
Really, it's the same position baby would be in in most carriers - K'tan, Moby, SSC, etc.
I really like ring slings for the newborn stage. I've also used a stretchy wrap ($1/yd fabric from Walmart) and woven wrap at that stage. When baby is around 4 months old, I start to use am SSC on front. Around 6 months I start using it on my back. I like different carriers for different stages and different situations. You can never have too many carriers, right?
For this baby, I currently have a size 3 Vatanai woven wrap to use for church and such, where I want quick in and out. Last time I used a Zolowear silk ring sling I bought used. Sadly, I gave it away with the other baby stuff. I also have a size 6 Ellevill Zara woven wrap that I can use for any stage, but I'm more likely to use it when not needing to get baby in and out much. I can even carry newborn on my back with this wrap, though I tend not to do that due to the spitup factor.
For later, I have a Babyhawk Oh Snap (SSC) that I kept from last kid. I love that carrier.
The stretchy wraps are great for newborn squish, but they are really only good for about 15 lbs. You can pretie them at home, drive to the store, then slip baby in. The K'tan needs to be small enough to hold baby tight. It's very common for people to accidentally get a larger size than they need. Definitely one to try on in the store if you can. I see them for sale all the time on my local babywearing group because someone needs a smaller size.
Many areas have babywearing groups now, so go over to thebabywearer.com and see if you have a group near you. Then you can try out different carriers and see what you like. Mine even let me borrow a kid to try carriers out.