You can find pictures of my heater installation on the B2620 here. Even though I realize you have a different tractor than mine, it should be fairly close to the way heat also gets installed on your tractor.
As for cutting hoses, there's only one hose that should need cutting - the lower radiator hose. It's not a big deal to do the cut (just not a lot of clearance near the belt - at least on the
B2620 there isn't.) Just buy a second hose and put it away if you ever decide to remove the heat down the road (I don't recall the price, but when I looked it up it wasn't that expensive of a part.)
I'm not sure where you got your heater kit from, but the kit I bought came from Sims. I should note that I ran into a number of problems with their kit as it really wasn't designed to work with the Kubota engine on the
B2620 (even though they "claimed" it was.) The supplied heater control valve was suppose to screw into the top radiator hose manifold, but the hood support obviously hits it (see picture.) So, I ended up having to use a SS 3/8" to 1/2" NPT adapter to connect up a 1/2" NPT turn handle style valve to clear the support arm (plus, the valve is 1/4 turn so it's lot easier to control the heat (and better built) than the original supplied valve from Sims.)
In addition, the kit I had came with a pair of John Deere gaskets for the manifold, which aren't as nice as the Kubota metal gaskets (and they leave residue behind if you ever need to disassemble it - in my case I did after finding the problem with the hood support.) In the end, I decided to buy two new gaskets from Kubota and installed them instead.
Finally, the supplied screws weren't long enough to hold down the top radiator hose with the manifold in place. I had to source my own. I can't remember what length I needed, but the bolts are metric so be aware of this in case you happen to run into the same issue.
The only thing change I made since I posted posted the pictures was to make a custom clamp for securing the top heater hose to keep it out of the way of the fan (in the posted picture it shows a tie wrap, but I wanted use something more secure.) I don't have a picture of it, but I can take one if you like.
Otherwise, the rest of the pictures in the link above should be clear on what needs to be done. However, if you have any questions, just let me know.
Good luck!