That's what I use too - the fluoride free stuff. The local CVS even carries it.
1. Xylitol with Hydrogen Peroxide for a pre-brush mouthwash/ rinse.
2. Floss (with remnants of mouthwash still in mouth so that it's carried between teeth by the floss).
3. Brush with Baking Soda (and essential oils and Xylitol too for a more 'pleasant' experience).