There are quite a few solutions for the bath tub to prevent water from sprinkling all over the room. You can choose from shower curtains, sliding glass doors or fixed glass panels. Here's yet another idea - folding bathtub doors. Check out the products.
AquaFold 58" x 36" Pivot Frameless Hinged Tub Door
Frameless tub door that prevents water splashing and minimizes leakage; it sports chrome finish of the hardware and folding (inside tubes) design. The piece is made of tempered glass and the hinges are brass.
Butterfly 58 to 58-3/4 in. W x 58 in. H Bi-Fold Tub Door with Hardware
Folding doors intended for mounting on the bathtub. The panels are made of tempered glass and mounted on an aluminum frame. Made in China. Functional addition to any bath.