I have the PlanetWise Wet/Dry bag that I ordered from Lunapads. It works great! The inside pocket is waterproof and the outside one isn't, so you can separate used and unused pads and liners. I've found it's just the right size for one day away from the comfort of your own bathroom.

Though I typically use my DivaCup, I purchased a wet/dry bag from LunaPads, just to be on the safe side.  Since I carry a backpack, it's very discrete.  If anyone sees it, it's just a cute little bag.  And if anyone asks about it?  I get to tell them all about Luna Pads! :D

I'm also thrilled that this company is based in my home state. ^_^

It's a good idea to use cloth pads that have wide wings, wider than you may need to accommodate your particular flow, to give you that extra feeling of security.

Lunapads overnight pads or a kit are a good example

<3

 I have a Moon Pad bag as well.  It is super cute and simple to use, totally contains any mess.  
But I'm sure that any waterproof bag would work as well.

I use a Charlie Banana reusable mama cloth bag. I'm sure hte Moon Pad bag mentioned above would work great as well! 

Invest in a Moon Pad Bag from Lunapads to stash fresh liners and store the used ones until you get home.  At a glance, they look like a make-up bag so your co-workers would be none the wiser.  I've been using my Moon Pad Bag for years.  Some of my co-workers know I use cloth bags so they know what's in there and the others have no clue.