I haven't invested in properties in this area yet, but lived in 64109 (Central Hyde Park) for 15 years, so I'll share my thoughts. Carrie has it right about being around Costco. I think there would be some good deals in North Hyde Park (31st to Armour/Gillham to Troost). MAC properties has renovated nearly all of the large apartment buildings along Armour and they are commanding pretty high rents. I think the adjacent areas would do well, but it is street by street.
Kansas City University of Medicine and Biosciences (near Cliff Drive) that Carrie mentioned is very active in the community and lots of things to improve the area along Independence Avenue. they have master planned a number of projects for the near future, which should add stability in the community. There could be potential in the area, but it seems like a long term play.
The Cerner Campus that Kim references (Bannister Mall) is constructing office buildings at a rapid rate. I happen to work for the Architecture firm doing those projects. I would expect significant growth, based on their published plans in the media. This should be a good area. Another investor mentioned this on one of the forums I read as well.
I'll add the Beacon Hill area in the mix. A lot of high new builds $300 - $750K are bringing this area along and it is very convenient with quick highway access. UMKC's adjacent campus just added a large housing project.
I also agree with staying west of Paseo.
That's my two cents.