Carry cold and hot tea inside something handy for a seaside picnic (5,5)

'a seaside picnic' is the definition.
Although both the answer and definition are singular nouns, I cannot see how one could define the other.

'carry cold and hot tea inside something handy' is the wordplay.
I cannot really see how this works, but
'cold' could be 'c' (eg on taps) and 'c' is found within the answer.
'hot' could be 'h' (abbreviation eg on taps) and 'h' is located in the answer.
'tea' could be 'chai' (I've seen this before) and 'chai' is found within the answer.
'carry' could be 'bear' (bear can mean to transport or carry) and 'bear' is found within the remaining letters.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

'for' acts as a link.

Can you help me to learn more?