Personally I would recommend against making the floor itself wood.
Wood is impossible to sterilize and breeds bacteria making living conditions unclean, it will also trap ammonia from waste which can damage the birds respiratory system, not to mention smelling horrible.
A scrap piece of wood you can toss when it gets dirty and replace would work in a pinch. Laying a few inches of hay or straw over wire in part of your cage would be much preferable, you can clean by scooping everything out and spraying it down. Using a pan, such as a large shallow cat litter pan or an oil drip catch pan and filling that with dirt or bedding would be a good option as well, and appreciated by the birds to scratch and bathe in. With any livestock I can't stand to have wooden flooring.
Cheers,
Jessie