Also if I were to do it by hand, can someone suggest a good cleaning solution or product for this type of cleaning?

A Mr. Clean Magic Eraser - or one of the knockoffs.

I second the Mr. Clean Magic Erasor. I have the same sized tile and grout on my kitchen floor except my grout USED to be white. I CRIED when I saw how easily the erasor brought it back to new looking.

I find Mr Clean eraser to work great on most things but have not found it to work so well on white grout which I hae in my bathrooms.
In my kitchen, I had medium gray grout which I let become dark gray (I didn't fight it) and I think that is one of my best decisions I have ever made with the house!
"Ok so now I am going to have at it again at the supposed to be white grout in the bathrooms.>

Men and boys in the house -- need suggestions (products) to clean white grout near/around the toilets.

Never again white grout in the bathrooms but for now it is what it is ....

Thanks!

When I had my bathroom remodeled, they put in 12 inch blue floor tiles and put gray coloring in the grout. It looks okay and doesn't require a lot of cleaning. Once a week I go over it with my Swiffer Wet Jet.

I think the grout gets quite dirty from when I wash the floor and the little bit of damp on the tiles will drain down to the grout, dry there, and build up a dark line. I learned to wipe down my tile floor with an old towel to prevent this from happening and that took care of my problem with the grout.

The Primo floor steamer- $300. Once a year. I do do this for a client while they winter in Florida. The steamer will clean grills, steam clothes & many more uses. It has a video demo on youtube.

The easiest way to clean grout is with a steamer as mentioned. Just use it the same way you would to steam clean a tile floor.

If the steamer doesn't do the job by itself then you most likely have stains in the grout. Visit your local cleaning supply company and explain the situation to them. They should have a product on hand that can be used to clean grout.

If that type of cleaning doesn't work then the only option is to remove the grout and re-grout again.

In any case, whether new grout or newly cleaned grout, you should seal the grout once a year to keep the dirt and food off the grout. This will keep it from staining again. Once again your local cleaning supply company will have what you need on hand.

This once a year sealing step will preserve your grout like new for many years. Grout though very hard to withstand walking on it is still a porous material that will absorb food and dirt. When this happens the grout can be discolored beyond repair.

Hope this helps.