Patricia, I agree with you that Raleigh (and the surrounding areas) have a lot of potential for appreciation. The area is growing and shows a ton of potential to keep growing into the foreseeable future.
That said, there are some sub-markets here that are better situated than others. Also, as one of the other folks here pointed out, a lot depends upon what you're trying to accomplish (cash flow, vs appreciation, etc).
Another consideration is going to be how you structure the financing of your investments. Are you looking to pay cash or will you need to secure a mortgage for the property? If you're going to pay cash, is that really the best financing alternative or would it be better to only invest a portion of your cash and to secure a mortgage for the remainder?
I started my career in real estate and mortgage banking way back in the day as a property manager and would be happy to share what I learned about the good, the bad and the ugly of owing (or managing) rental real estate. I have also spent a good portion of my career in mortgage finance and would be happy to answer any questions in that area that you might have. So, feel free to reach out to me through my profile.