When you´re about to purchase Bathroom Lighting and Bathroom Lamps you should consider choosing a lamp with sufficient high-grade sealing (IP rating). In short, the higher IP rating, the tighter and more secure is the lamp.
IP65 - Just above the shower and tub. IP44 - At least 0,6 m from the shower head. IP21 - At least 0,6 m away from the bath or shower.
Keep in mind that it is always the electrican who takes responsibility for the installation, therefore check with your electrican what IP rating you will need.