I suppose I was lucky. My first instructor (now flying 737s) insisted on taking me into Ipswich as early as possible so that I could get used to grass. I never had a problem with grass, in that respect.
Where I did have a problem was when a muddy strip deposited a nice divot on the gear microswitch. Landing with two greens was definitely an "interesting" moment. (No, I didn't replace the divot and no, I don't play golf).
Another group member had the same experience the following year. We now have a group rule "No grass in winter or when it's muddy".