that mirror is shot. people give these bathroom mirrors away for free on craigslist all the time. grab one of those and have it cut to size and framed. In fact, people sell those oak vanities all the time for next to nothing as well. maybe you could pick up one for a song and paint it white. For a few hundred bucks, you could get the vanity, sink, faucet and a mirror!

I'd paint all of the wood trim white. glossy white. paint the walls in a color that goes w/that flooring. (I really can't tell what it is. maybe grays or a nice pink?)

grab a new blind..or if you are DIY, you can make a No Sew Roman Shade out of any fabric.

you can also find cheap vanity lights all over the place.

very easy and cheap to copy what they've done here:

the girls need storage for their stuff,,,so get something like above or one like this (craigslist. I found a really nice one for 30 bucks and painted it)