PKL no doubt your method will work well but you are giving yourself a lot of unnecessary work, skin yes as the skin will contract and tend to break the nose if you boil before skinning if you are going to cut the skull there is no need to need to remove jaws tongue eyes or any flesh its all easier removed once the skull has been boiled.
If you use a cutting off stand then use the saw that comes with it, I don't I cut them free
hand its not that difficult, use a wood saw something like a sandvick , no need to change saws,
For a long nose cut take a line through the ear to the nose just passing the top teeth the cut should stop just in front of the first top tooth leaving the roof of the mouth in front of the teeth intact.
If you don't have a jig or choose not to use one, lay on its side and cut half way through turn over and repeat from the other side, that way if you do go off slightly it should not be noticeable, once you have done a couple you will find its easy, if on the unlikely chance you quite badly wrong, don't despair its possible to true up quite badly cut heads with an angle grinder, just wait till the head is dry after cleaning before doing it.
Boiling twenty minutes to forty minutes depending on the age of the animal, remove and scrape this is when its easy to break the nose, if you plunge the head in cold water when you remove from the boiler this will set the bone and make the chance of breaking much less quick scrape back in boiler for a few minutes if necessary finish with brush as PKL said I use an old tooth brush.
Some recommend washing soda , but don't use it if your pot is aluminium, I just use a couple of scoops of biological soap powder, have also heard that a dishwasher tablet works equally well but have never tried it.
Then peroxide PKL's method works fine, or you can get cream peroxide from a hairdressers, in my case where I have a lot of heads to do I use a bath and industrial peroxide dip heads making sure you can keep the antlers clear twenty minutes to one hour is usually enough to bleach a skull again depending on age.