GrandmaSeaDragon, what yarn did you use for your hand knits? Some do bobble more than others. On the whole, twisted (or plied) yarns will not bobble as quickly as 'singles' (yarns with only one 'thread' that is not twisted round others.
A certain amount of bobbling is always going to happen, but a cashmere comb (easily available online for £5 or so) will remove them much more gently than a shaver, so your knits will last longer. It's not washing that causes bobbles, incidentally - its friction when worn (ie the top of the arms rubbing against the body. This is why underarms tend to be most badly affected. Washing in too hot water, or too much friction in the machine will cause felting, as will tumble drying. This is useful when doing it deliberately, but heartbreaking when done by mistake (as I found out when my daughter 'helpfully' washed and dried my newly knitted 3 ply alpaca jumper ?).