Kansas City does not have any initiatives (i.e. money) available for historic preservation but there are state tax credits available for restoration projects on specific houses or houses in neighborhoods on the National Historic Register. Much of Hyde Park, Columbus Park, Scarritt Renaissance, Crestwood as well as other neighborhoods are listed so most of the homes in these neighborhoods qualify for the credits. For a full list of neighborhoods you can visit the Kansas City MO website and search for online mapping. Once there select the layers tab and you will find an option for National Historic Register which will display all the neighborhoods that qualify. The process for applying for the credits is cumbersome but there are several local companies that specialize in helping homeowners through the process and they are certainly worth the money. I can help with the introductions if you are interested. The tax credits are transferable so they can be sold if you do not owe enough in state taxes to use the full value of credits your project qualifies for. Many banks will also count the credits toward the equity required to purchase the property.
For smaller projects such as weatherization, insulation and other small improvements the area Community Development Corporations (CDCs) offer assistance to residents in the neighborhoods they service. Many of these programs are targeted to lower income residents but not all. Each CDC covers a different area so you need to do some searching to find the one for your target neighborhood(s).
If you are interested in purchasing income producing properties there are Federal tax credits available. They are similar to the State credits but they have an entirely different set of rules but once again the local historic preservation companies are very helpful in helping investors navigate the maze of regulations.
Please let me know if you have questions about the details of the programs discussed above or if you are interested in an introduction to one of the local historic preservation companies.
Good luck with your search.