Not Sure What To Ask For Triumph Thruxton 900 Cafe Racer (2010)

My teen kids inherited their father's 2010 Triumph Thruxton 900. I can't find any comparable motorcycles online and I don't know much about them. He bought it with it's original trim, then modified it into a cafe racer. I have all the original parts to go with it and it's in excellent condition & runs well.

 

It would be good to have more detail - as many pics as possible and any lists of what's been changed?

 

It's in excellent condition with no scratches or dings. It fires up with the first try. Has a carb and choke. 4,400 miles. I believe these photos are after it was modified into a cafe racer. All the newer parts were bought brand new (no used parts). No accidents ever.
I still have ALL the orignal parts (seat, handlebars, mirrors, lights, exhaust, rear fender, etc.) and will sell all of it with the bike. Would offering these parts with it increase what I could ask for it?

 

Note: In the photos, the top one has different handlebars than the bottom photo. The bottom photo is the most recent.
I can't give specifics on the parts. I'm unfamiliar with motorcycles and just trying to sell it since my kids have inherited it.

 

I would say the value is around £4,750 of your finest English pounds, or whatever that equates to in US$.