For the time being (and this IS only a temporary fix) try using a water based penetrating sealer on the grout. I stress water based, because solvent based sealers today are made to be "breatheable", meaning they allow moisture to transmit back and forth, while the water based sealers will repel water. You still need to address this in a more permanent manner (the glass door is a good idea, but it wouldn't hurt to remove the bathroom floor tile, waterproof the floor, and install a new tile floor), but this will help until you can afford to do what you need to do.

It small But your cabin sink unit is a good idea as you have storage space and it looks neat. I have changed my bath many times to shower unit and it has leaked every time, some times it has been the plumbers fault or bad design then it was a visitor who let the water spill while showering the last time it flooded the insurers wanted the bathroom TANKED! meaning waterproof walls and floors. This is done by an experienced plumber contractor of repute! as the insurers said too many claims from too many people with bad waterproofing. the insurer said they would not insure again or any other clients who had not got their bathroom water proofed by expert plumber fitters. SO I have gone back to the Bath with a shower enclosed and found it tops for waterproof.

Shamelessly bumping my own post- any of you super houzzers out the have any suggestions please? A mid grey perhaps or take the blue or yellow from tiles? Thanking you....

I'm stuck choosing a paint color for one of my bathrooms. I always play it safe and realise I now live in beige land! Shower and floor tiles are a "greidge" color Wich I regret but are only in four years do I'm stuck with them, for now. As you can see splashback is a purple mosaic so should I pick a punchy color to tie that in??