In terms of a piece coming off the lathe, I would suggest a basic full face visor like this one will be fine:
http://www.axminster.co.uk/axminster-fm952-safety-visor-500080
I think the contrivance your describing with mesh etc is likely to get in your way, catch the end of a tool handle and actually present a bigger hazard than an unguarded machine.
I'd suggest start small 1" - 1.5" square by 8" - 10" long and go from there. That way the stored energy will only be modest and well within the capability of a face visor if it goes wrong!
After that, as you build confidence in the machine and develop your own ability, go from there. Also, I suggest spindle work first rather than a bowl. That way the work is 'trapped' between the centres where as a bowl will require removal of the tailstock to turn the inner of course.
Best of luck,
thanks i will be getting a face guard also,i am trying to nfind a chuck to suit the 20mm shaft,any suggestions?
Simon