[MarkST]

I've been told that monster 696 fits directly

Surely you mean 620 ?

pandora's box....

Handy for pricing parts up....

HANDLEBAR AND CONTROLS. Fits: 2002 Ducati Monster 620 | Pandora's Ducati Parts

 

[MarkST]

So, its no 696 but 620? ok, prices are lower...

Yes the 620 fits. also the M900.
They probably all fit, apart from the newer style like the 696 but I'm not sure.

i've seen a conversion kit on ebay, but I found it a bit expensive.
I have the handlebar so the only thing I want is the yoke.

PM sent to this effect.

The only thing I dont like is cutting the fairing. ¿is it the only way?

Don't cut it then, I know I wouldn't.
You'll just have to make sure you have bars that end up further back towards you, and also adjust the steering stops so the bars don't hit the fairing.
A bit of a compromise perhaps, but many people have done it successfully without cutting the fairing, so I'm sure you'll figure it out.