Welcome...
A £1000 can get you a lot of bass nowadays. Fenders seem to have taken a bit of a price hike recently, along with most of the other US brands.
If you're prepared to buy second hand, Fenders jazzes, Sadowsky Metros, and even Sandberg California JJ's will give you a fair chunk of change as well. All quality choices.....
Saying that, you may not get a chance to try them out beforehand.
Nige