Another good idea is to keep an eye out for second hand fleece blankets. After a good wash, the pigs don't care that they once belonged to someone else!
I add a little bit of bleach to the wash. It has not faded my blankets, but you need to be careful, not all blankets are colour fast.
As for vacuuming, you don't want to use your moms vacuum. Many vacuums have been distroyed by this practice. In ancient times, bricks where made out of mud, straw and poop. Guinea pigs usually have two of the three in their cage, poop and hay (similar to straw). When this gets into the vacuum, it is not uncommon for it to pack itself into the hose and gears, breaking the vacuum. I did it to mine!
Getting a dustbuster, shaking the bankets off outside, or getting a secondary vacuum is a better idea. I am sure mom will be less then pleased if you break her vacuum!