For smells on things - like rugs - use Nature's Miracle. It is expensive but gets out the smell. You have to SOAK the spot and let it sit, but it works.
If you decide to go with disposable pads, instead of purchasing the puppy pads, get the human ones. They are less expensive and you can cut them to fit the cage. The drugstores here usually have a sale once/month with the deal buy one, get the second one half off. Plus if you have a FSA (Flexible Spending Account - medical) account, the disposable pads is an eligible item if one of your listed members need them- cough, cough, not that I would know anything about that.
- And got the T-shirt
You can train yourself and ease part of the problem. You find the places where they tend to pee and poop the most, usually where they eat and sleep. Put litter pans there, and that will catch a lot of the output IF you've got cooperative pigs. If not, you're out of luck.
But you also have to be very careful of them sleeping in those places too much or not cleaning them enough, and the pigs getting urinary tract infections from sleeping in the waste.
I have wood pellets under my fleece. both my piggies are young so I can go 5-6 days pretty easily without a bad odor. But I do clean up poop twice/day and I lift up the fleece and remove the pee spot pellets every 3 days. I noticed that the poop smells bad so I make a point to keep that under control.
Another thing that causes odors is the poos themselves. A cleanup with hand brush and dustpan several times a day may do the trick.
One other thing might cause odor if you are using it...vitamin additives to the water. If you are adding anything to the water, you can discontinue this as it is not needed if guinea pigs are offered daily fresh veggies.