I agree with your dentist that baby teeth are important and they hold the place for permanent teeth.
In Canada I believe the nearest rinse to the one I recommend is a Colgate products called Fluoriguard. The Finnish chewing gum (providing it is 100% xylitol) should be perfectly fine.
The good news is, frequent use of xylitol and my mouth rinse system will harden teeth, making them stronger and shinier, and xylitol will eliminate plaque. All of this means your teeth will look a lot shinier and whiter very quickly!
Dental Health for Everyone!
author, Kiss Your Dentist Goodbye
26, Corporate Woods, Rochester NY 14623