Hi
Thanks for all this information and tips.
I have the OneTouch UltraSoft lancets which have the plastic protector that can be firmly replaced after use so they are probably pretty well safe in a decent plastic container which is then well sealed.  However, I would perhaps be happier to use a needle cutter, just to be safe and discard the little metal bits into a sharps box somewhere.  So, may I ask, Sarah69, where did you get your needle cutter from?  I will Google it and see if anything comes up.
Thank you, Jopar, for your reassurance that the test strips aren't a hazard and can go in household waste.  Again, I use the OneTouch Ultra strips which draw the tiny amount of blood. I do wipe them with a tissue before binning them so I am confident they wouldn't cause a problem.
However, I don't know if different types are considered differently or, most likely, the manufacturers don't want any responsibility, in the insert with my Test Strips, it says:
 used test strips may be considered biohazardous waste in your area.  Be sure to follow ... your local regulations for proper disposal 
So, maybe different strips/manufacturers have different guidelines?  I will try to check the local regulations out but, as you suggest, a strong, plastic, sealed container would surely hold absolutely no hazard.
Anyway, I really appreciate your suggestions.  Thanks very much