This video teaches you how to clean tile floors using baking soda and peroxide. I've been professionally cleaning tile and grout in Tampa FL for some time and I can tell you that almost any water based solution will clean tile surfaces easily. Most homes are tiled with either porcelain or ceramic tiles. Both are acid resistant and can easily be cleaned with a homemade solution of vinegar and water mixed at a 1:1 ratio.
Cleaning tile floors using baking soda and peroxide involves too many steps and can easily leave a powdery residue on the tile and grout. It seems like a lot of extra steps for floor cleaning. I recommend using a Rubbermaid Reveal Microfiber Spray Mop for your tile and hard surface floor cleaning. You can use any cleaning solution you like with it and the microfiber pads work great on tough spills and built up residue. I recommend the homemade cleaning solution of water and vinegar along with The Reveal mop for cleaning tile floors. it not only cleans the floor but sanitizes them as well.
The microfiber pads are easy to clean and last a long time. I have been using the same 5 microfiber pads for the past 3 years and each time I wash them they come out looking like new. Using a regular mop head leaves too much dirt in the water that eventually works its way back into the grout. Stick with a cleaning system that does not require you to re-dunk into dirty water to clean your floors.