Cuts and scrapes certainly happen to me, but I like to think that they don’t repeat; if they do, then something is very wrong. Workholding, vices and jigs are key for me to stop my hands bring cut.
Looking at the extremes of ‘green woodwork’ to ‘machining’:
Green woodwork often involves holding the workpiece in one hand, and a very sharp thing in the other, and so cut resistant PPE is sensible, especially when starting out, but is no substitute for using cuts, actions and body positions that don’t allow the blade to contact flesh on the through-stroke.
Machine work should always involve jigs or workholding; sometimes this is built into the machine, sometimes needs to be added. E.g. the flat top and fence of a table saw or router table are part of the workholding for those machines, but more can be added, especially garding.
The case of hand-tool work as in WilkoJay’s case is interesting because you can either: go down the route of the sharp edge not being near flesh when moving, and made safe (on a surface) when not; or use vices, jigs etc to ensure that the tool-use will never contact anything sensitive/precious (this includes other tools and pieces of work).
Specific recommendations:
1) look at your work area; if you can cut yourself on a stationary chisel, the I suspect it was overhanging the bench, or was left on the work. Knock up a ‘tool tray’ to keep them in when not stored away.
2) consider the area you are working in; does it need a tidy up? If you have piles of tools, half finished work, and things that should be stored somewhere else, then you are more likely to misjudged things.
3) how are you holding the work? Could a vice/clamp/holdfast make it easier and safer? If so buy/make one.
4) Buy PPE; some is vital e.g. eye and ear protection where appropriate (I don’t wear safety glasses when chiseling or green wood carving, but any time a machine is used I do). Face shields and cut-resistant gloves should be used when you have eliminated all other forms of protection (guarding, not touching the blade etc.).
Good luck and stay safe.