DH was with a wood coatings group for years supplying a major wood floor company with coatings. He says the two biggest "killers" of wood flooring are sunlight (direct and indirect) AND WATER! Tile can be cleaned in a number of ways but your simple cleaning is just fine. If your hubby wants to steam, let him go for it! The wood flooring just needs a vac/sweep and then Bona it.