Hey Yolfer,
I can't reassure on your exhaust removal concerns but I have replaced a few motorcycle tires myself in the past (including the straps to the rafters!).
The exhaust is likely just a couple of bolts at the engine and at a frame hanger but you'll have to check.
The process is like changing a bike tire but everything is a bit beefier. I recall it taking more muscle but that will vary with tire quality and dimensions. If you are a DIY'er already it won't be a problem but it will take some effort.
I recommend using the big tire irons as pictured. I have no idea what they cost now as mine were purchased about 25 years ago. If you use them you'll have to take their cost into consideration.
The only other thing I'll mention is potential scratching of your rim. The old chromed steel rims were less susceptible to damage. Alloy, or whatever they are now, are easier to scratch up which might be a concern if aesthetics are important .