The thing is this, if I tell them I'm looking for around £32K, won't they just cancel the idea of hiring me all together if they weren't going to give that much?
Will they just say no and that's it, no further corespondent. They'll just accept we aren't on the same page and move onto someone else?
Remember, the recruiter's goal is to find the right candidate. They don't just walk away from a good candidate (which you clearly are), they will keep the dialogue going, provided you give them a reason to.
First and foremost, impress them with your skills and experience, your core skills, and importantly, showcase your value-adds which make you stand up head and shoulders above others.
When it comes to salary, if you've done an effective 'sales job' of who you are, they will be incentivised to keep talking with you, Don't be afraid of pitching yourself at the salary band you want to achieve for fear they'll reject the discussion. They won't if they believe they've found the right person in you.
Also think in terms of getting your foot in the door, by getting into the organisation, if it opens up a wealth of opportunities that won't be visible from the outside. I'm not saying get in there at any cost (ie lower salary) but consider if there is value in compromise now, to reap reward later. Mainly, if the location, core salary and benefits suit you, that's a good foundation to build on.