Don't pick pink tile... I speak from experience

I wish I had a picture of the pink monstrosity that was my bathroom in my parent's house.
Anything kinda permanent you may want to stick with neutral colors. ( Or if you like a particular color, make it small like an accent row or something that's easier to change out. ) As tastes changes (even your own) it's a heck of a lot easier to repaint the walls and change out knobs and other hardware than have to retile or change fixtures. It's amazing how completely different a bathroom can look just by changing the wall color if you have the right tile and flooring that can complement multiple colors.
I chose a light grey, Italian marble look in one bathroom for the ceramic tile. There are so many colors that fit with this tile, I could change out the bathroom every year if I wanted too just with new paint and accessories. I chose a light beige for the other bathroom, actually reminds me a little of a parchment color. There's less colors that work with it than the grey but still a really wide spectrum available for the next owner. (It's actually one of 2 rooms in the house I wouldn't consider changing the color ever. And I like color, I hardly never paint my nails the same color twice)
So I'm with you on the grey and white, and I'm partial to blue too. My grey bath is like that; all fixtures and vanity are white, the floor is white with grey veining, the light grey tile on the tub surround, and then a light blue wall with darker blue, grey and lavender accents (towels and accessories). I am actually thinking of changing it up after 10 years with it, but all I have to do is repaint and buy new accents and it'll feel like a new room.
I'm not much help on the pricing, when I had my baths done it was during the recession and I have come to find out everything was cheaper then. I'm kicking myself for not doing a couple things because of the expense, only to find out a couple years later it was now double the price. Live and learn