We haven't had one cent or two cent coins for nearly 20 years.
New Zealand have also done away with theirs, in fact they recently got rid of the 5 cent too.
I does not create any problems and is well accepted. Your shopping bill does not suddenly increase by $$.
It is only the total of the shopping basket that is rounded up or down. Sometime you win, sometimes to lose,
but it is only a maximum of 2 cents one way or the other.