* General bag: Bag (pronounced "bag") is commonly used.
* Handbag: Bolsa (pronounced "bol-sa")
* Backpack: Bagpack (pronounced "bag-pack")
* Shopping bag: Bag or Shopping bag
* Suitcase: maleta (pronounced "ma-le-ta")
* Tote bag: Tote bag (pronounced "tote bag")
So, depending on the context, you can use any of these words.