Demister Mirrors - I am going round in circles!

[LittleWingSoul]

Hi all

I don't know if I'm searching for the impossible, but I am looking for a bathroom cabinet that:

1. Is not really ugly (subjective, I realise - going for a bit of a heritage feel with the bathrooms)
2. Has a demister pad
3. Is mirrored
4. Has an integrated shaver socket

I have found a combination of some and not all aspects, I'd prefer it not to be LED lit as I have bought a separate light fitting to have above the mirror, but if a good one is LED lit then so be it...

Caveat...

1. Max £150! Because I need two!

Thanks in advance...