在一天的最后
at the latest time in the day
  I'll switch on the washing machine last thing so it'll be finished when I get up in the morning. 晚上睡觉前我会开启洗衣机,这样等我早晨起床后衣服就洗好了。 
 You should avoid drinking coffee last thing at night.
 I do my exercises first thing in the morning and last thing at night.
 He usually calls me last thing, just before he goes to bed.
 It's not a great idea to have difficult conversations last thing.
 See also: last adjective adverb pronoun noun