This requires significant remodeling but involves sloping the floor properly (1/4" per foot) toward the drain and using waterproof membranes. Consult a professional for plumbing adjustments.

Yes, if your water pressure is adequate (minimum 2.5 GPM), though you may need an extension arm or ceiling mount kit depending on your setup.

Apply non-slip adhesive strips or use a traction mat. For permanent solutions, opt for a textured tub coating.