Chances are will still want the doors even after drawers are installed just to keep things clean and to provide a neater appearance.
How handy are you? You need to make or purchase drawers along with hardware to install them.
Do you want to make yourself? Or hire out?
You would probably have to hire a custom cabinet maker to build drawers for you. You'll need to install drawer slides. To make it look cohesive, you would need the same fronts on the drawers as the rest of you cabinets. Depending on what you already have, a custom cabinet maker should be able to match it
That's just about a total cabinet rework. May be better to just replace.