Bad 70s DIY bath needs makeover

When we moved back home to expensive Los Angeles from much cheaper Phoenix, we had to downsize. A lot. Even had to settle for a bad 70s DIY bathroom. The sink and tub are peeling, grout is crumbling, and the old vanity is smelly and falling apart. We've been socking away money since we bought the house a year ago and might have enough to start the remodel in a couple of months. I can't wait! Of course, that means going to a relative's house to shower, so I hope it doesn't take too long. 

I would love a version of this bathroom (see link below) but would paint the walls white so the blue tile pops. 

http://www.nopatternrequired.com/wp-content/uploads/2012/12/tulsa1.jpg