Well "you cant go wrong with canikon" is the usual reply. And to an extent that is true. Or it was...
But both Canon and Nikon have been resting on their "name" for years. They are not innovating in years now, and they charge a huge premium for the name.
If you want compact, innovative and value for money check out (particularly the mirrorless camers) from Sony, Panasonic and Olympus (and maybe Pentax).
Personally - I think some of the Sony cameras are particularly interesting - I love my A6000, but the 4/3rds cameras have many appealing points too.
The caveat is that there is still a wealth of awesome glass for the canikon universes... the flip side is that you can use _all_ of that glass on the mirrorless cameras (particularly Sony's) with adapters because they have a shorter register distance.
So if you really want a huge range of lenses and dont want to use adapters then its canikon still. For everyone else... there are better options.
And just to throw a spanner in the works... do you really need a changeable lens camera? There are some amazing bridge cameras with brilliant and well matched lens in the 300 quid bracket that I would look at first. Unless you really want to be able to use some extreme wide angle/fisheye or really fast (read expensive) or massive telephoto lenses... then the megazoom bridge cameras are a great deal. And lets face it - if you want to buy lots of interesting lenses, your 300 quid budget is fantasy