Ilovetchotchkes, there are a number of carriers that will do that. In fact, I'd say more will than won't. The Ergo, which is probably what you're thinking of, is one option. I have one and still use it for my small preschooler, so I won't knock it. But there are lots of carriers made by much smaller companies that are just as useful, come in a wider range of colors/fabrics, and can even be customized to your size. I mentioned the Kanga earlier (www.bloo-kangaroo.com) which comes in four different sizes, regular or petite straps, and custom fabrics. That is my all time fave, and I plan to have one of each for this kiddo (I saved my Kanga J, the smallest size, from last time). If you get an X, I think it would easily take youfrom birth to toddler as well as an Ergo would, if not better.
Have you checked over at thebabywearer? Those ladies are experts, and can show you a whole range of carriers in any price range and any fabric, and can help you decide which would be best for your specific circumstances. Really, the few brands that have been mentioned here are just a tiny fraction of what is available. You can even buy used carriers there - and those ladies treat their carriers like gold, so don't feel like you'd be getting something inferior by buying used. In fact, I prefer to buy used, because then it's already soft and broken in.
The makers of the Ergo are very adamant about not outward facing. And if you have a smaller baby and want to try outward facing, the Ergo would be pretty uncomfortable for them because of how wide the base is.