S.H.
There is something I got for my son, from my local Long's Drug store called 'Spiffies."
You can use it for babies and toddlers etc.
It cleans the teeth/gums, and also helps to prevent tooth decay etc.
Here is the link:
http://www.spiffies.com/
It's really great, and I use it in conjunction with regular tooth brushing, for my son, as an extra precaution.
Yes, you DO start cleaning the gums/teeth of a baby already, and it is recommended.
At this age, you don't have to use a brush and "brush" the teeth...but wipe/cleanse the teeth AND gums. My Dentist said even using a dampened washcloth and wiping the teeth with it is also an effective way of cleaning a baby's mouth.
All the best,
Susan