It sounds like a planer is the right tool for the job. However, if you don't plan on doing enough projects like this, to justify at least $600 (for a entry level planer & jointer) you may want to just buy the lumber from a hardwood lumber store and have them plane it for you. They charge a small fee, but it may be worth it for you.
I think the site is
www.woodfinder.net that lists local hardwood lumber stores. Most of them will have this equipment. Have a look there.
Otherwise, if you're going to get more deeply into this kind of work and can justify the shop space and expense, a jointer, planer, and table saw should probably be on your list.
What kind of projects do you do? How many of them per year? If you can tell us this, it will help us with tool recommendations and other options.
Welcome to Sawmill Creek!