I've never enjoyed cooking.
讲解：我从来不喜欢做饭。
A big reason is probably the washing up afterwards.
讲解：一个重要的原因可能是吃完饭之后要洗碗。
the washing up 刷盘洗碗（这里是个名词词组） do the washing up=wash/do the dishes 刷盘洗碗
afterwards （某个事件或已提及的时间）之后
I always make a big mess in the kitchen after I’ve finished cooking.
讲解：我做饭后总是把厨房弄得一团糟。
make a mess 搞成一团糟
