english grammar questions , please help

As you state, Contrex, these are subtle nuances and I'll not dispute them. In the "ice cream" sentence I would definitely use "eating" but in the "bread" sentence I might use either "eating" or "to eat" as my mood would dictate.

Do you know the difference between AGREE AND ACCEPT , ALLOW AND PERMIT ? THANKS

agree - to have the same opinion, or to accept a suggestion or idea

accept

(1) to agree to take something:
(2) to say 'yes' to an offer or invitation
(3) to consider something or someone as satisfactory
(4) to believe that something is true


Allow = permit