One of the most common questions I get is what kind of DAW is best for podcasting. DAW (Digital Audio Workstation) is the software in which your record your episodes in real time and after that in which we can apply further editing to achieve the desirable result in terms of sound.
There are so many options out there, free or paid. Audacity, Cakewalk (Windows only), Pro Tools, Logic Pro (MAC only), Adobe Audition, Hindenburg Journalist etc. All those come with many tools to help you record your podcast professionally.
I encourage you to test a couple or more DAW before choosing which one you will buy. Most of them has a trial or free light version to give you the chance to check them better. I believe that choosing a DAW is a personal matter. It has to fit to your specific needs.
Some of the elements that are important to check is the workflow, how easy is setting up a project, what options does it include for recording, how easy is to organize your recorded clips (especially if you record multiple clips per episode), if there are shortcuts that helps you, if there is a quick uploading option to the platforms you want etc. Of course one very important factor is the price and that depends on your budget but there are great free options to start with.
Finally, I'd like to add that whatever DAW you choose will not introduce compatibility issues with the one that your audio post production guy uses. The audio that you will export from you DAW could be imported to different DAWs for the post editing stage.