Simon, take your bike to him along with a few wrenches. It only takes about about 2 minutes to remove the muffler. Then he can bend and fit the new pipe just right.
I suggest that you loosen the clamps and bolts holding the muffler on while at home and snug them up again before you go to the muffler shop. That way you'll already have all the wrenches you need and if any of the bolts are a pain it's better to deal with it at home than at the muffler shop.
Also, you might want to get a baffle first so you can take it with you. If any fine tuning of the baffle is needed, such as the flange being a little too small or a little too large, the muffler guy will have the tools to make the minor adjustments for a good fit during the same visit that you have the exhaust pipe made.
I went back to my muffler guy to make some changes to the baffles. But that's also because I modded the baffle a little and needed his help. Putting in a baffle for a 1 3/4" pipe would work just fine but like everything else, I have to find some way to mod or improve it. I wanted the baffle tabs that are pressed inward into the pipe to break up the sound but I didn't want the narrower body that comes with a 1 3/4" baffle. So I instead bought baffles for 2" pipes which have a larger diameter body and modded the flange to fit. In the pic below you can see a rough comparison of the baffle diameters for one that will fit a 1 3'/4 pipe and one that will fit a 2" pipe. I also made drawings of what I did (or rather had the muffler guy do) to mod the baffle. He cut off the flange, cut a short piece of exhaust pipe and welded the new flange to the baffle body.

The new flanges are slightly thicker steel compared to the flanges that came with the baffles. The thicker steel allowed me to drill and tap a quality hole in the flange for the baffle retaining screw.

With this baffle mod there is less narrowing along the exhaust pathway than had I gone with 1 3/4" baffles. Again, 1 3/4" baffles would work fine but I just wanted to do this extra step to mine.