Carbs are actually quite good fun to rebuild - especially as you can do it sitting down (you don't want to know about my back...) Start off by photographing the carb in situ 'cos the connections and linkages are not well described in the manual. Remove it and clean the outside thoroughly before you start.
I use a cut down cardboard box as a workspace - keeps things clean and makes it less easy to lose small parts. Clean everything off with carb cleaner and a toothbrush/small paintbrush. If you're not confident about identifying bits lay them out in the order you remove them on a piece of paper - sub assemblies can be put in individual compartments of an old egg box if you're worried about mixing bits up. Have a paper copy of the exploded diagram handy.
Use a small socket set and spanners and the right fitting screwdriver bits - some of the threads are delicate, especially those in alloy castings. Don't overtighten screws.
Make sure mating surfaces are clean, free of old gasket and flat - Zenith carbs are prone to warping and there's plenty of internet guides on identifying and solving this problem.
If you're googling for info don't forget it's a 36IV, not a 361V.
And if it all goes horribly wrong, a new carb is less than a hundred notes. (but then you end up in the protracted argument about what carb to fit, a replacement Zenith or a Weber equivalent)
Good luck!