what can I use to clean the grout in my kitchen and bathroom. I have grandchildren and pets and I want to keep them safe.

Your best and safest option is to get a "natural" product!  One great option is the Method brand Tub-n-Tile Cleaner selling for $6.49!
specifics:
Eucalyptus mint
Soap scum + stain remover Non-Toxic. No Harsh Fumes. made by and for the people against dirty® Safe for you, safe for the planet.
In the fight against dirty, the bathroom's a battleground.  Good thing you've got TNT:  tub-n-tile spray.  Biodegradable, plant derived cleaners fight soap scum and stains where they hide.  But it's non-toxic, so nobody gets hurt except for the dirt Great cleaning comes naturally to us. This bottle is made of 100% recycled plastic.  Never tested on animals.  Recycle for good karma. Made in the USA

Next is the Seventh Generation brand Tub and Tile cleaner selling for $4.85
specifics: Seventh Generation Tub & Tile Cleaner, Natural Emerald Cypress & Fir Scent 32 fl oz. Cleans and Deodorizes Sinks, Tubs and Tile

• non-toxic
• biodegradable
• no chlorine

"In our every deliberation, we must consider the impact of our decisions on the next seven generations." - From The Great Law of The Iroquois Confederacy Thank you for purchasing Seventh Generation products and for caring enough to help make the world a healthier and safer place for the this and the next seven generations. - Jeffrey Hollender, Founder & President You Are Making A Difference™
If every household in the U.S. replaced just one 32 oz. bottle of bathroom cleaner containing chlorine bleach with our hydrogen peroxide based bathroom cleaner, we could prevent 1 million pounds of chlorine from entering our environment. Free of chlorine, petroleum based solvents, glycol ethers, phosphates, acids, caustics, dyes and perfumes. Our bathroom cleaner is specially formulated to clean stains and soap scum from bathroom surfaces. Unlike many conventional bathroom cleaning products, our product does not create unpleasant fumes, will not leave harmful residues, and is sifter for the environment. We Disclose All Ingredients:
Natural lactic acid (to remove soap scum and lime scale), coconut-based sufactants (for soil removal), sodium hydroxide, Whole and natural plant essences (a blend of emerald cypress, balsam fir, and lime essential oils, Water, Hydrogen peroxide (the active stain removal agent), biodegradable surfactants (for soil removal), citrus oil (for grease removal), food-grade, non-toxic oxygen stabilizers (to help the hydrogen peroxide last longer) We'd Love To Hear From You!
Questions? Comments? Please call us at 1-800-456-1191, M-F 9am-5pm EST, or visit us at http://www.seventhgen.com   Natural lactic acid (to remove soap scum and lime scale), coconut-based surfactants (for soil removal), sodium hydroxide, Whole and natural plant essences (a blend of emerald cypress, balsam fir, and lime essential oils), Water.

There is also Mrs Meyers Geranium cleaner selling for $4.49
specifics:
Uncomplicated products for a clean and happy home. Aromatherapeutic Household Cleaners
Have naturally occurring, essential oils, providing a singular fragrance for your entire home. Geraniums, so pleasing to the eye on a summer day, are said to uplift & soothe the mind with a REFRESHING floral scent. Peace of mind while you clean. Mrs. Meyer's products are cruelty-free & are not tested on animals. Contains Biodegradable ingredients. Please recycle all packaging where facilities exist. http://www.mrsmeyers.com or 877-576-8808

Warnings

Common Sense Caution: Avoid eye contact. Keep out of reach of children.