An inexpensive Dickey or Irwin apron woudl seem to keep the grease off of you. Get it with pockets. Get the apron with crossover straps (each strap goes over your shoulder and crosses over, so the apron doesn't hang on your neck).
https://www.irwin.com/tools/worksite...chinists-apron
If you don't like the Irwin, google toolmaker's apron and you should have a lot to choose from.
The Silca looks nice, but not $75 nice, not unless I was back working in a bike shop.