I use a solution of water + vinegar + a tbsp dawn soap for cages, perches, toys, kitchen top and sink. For the past 5 years, I clean the cages and perches everyday with this solution, no adverse side effetcs.
I use a bleach-based commercial cleaner (lysol) for the bathroom, kitchen floor making sure the birds are in another room and fans are blowing in/out of windows. Make sure to wait several hours before reintroducing the birds. As for wood polish, I don't use any so I can't comment on it's safety. Personally, because it leaves a lingering oily residue with chemicals and a strong smell, I stay away from it. Maybe there are safer alternatives.