Flue sweeping - how much?

[JimM169]

Our new house has a log burner in the front room, it was installed 4 years ago but as I've no idea if the flue has ever been swept it's probably sensible to get it done. It appears to be a standard 125mm flue pipe, and looks like it goes straight up with no kinks or bends.

Never had to get a sweep in before so have no idea what is a reasonable price so can you give me some pointers on what I should expect to pay given that I'm based in Notts.

Cheers