When someone is said to have 'come up trumps', they have completed an activity successfully or produced a good result, especially when they were not expected to.
If something comes with the territory, especially when undesirable, it is automatically included with something else, like a job, responsibility, etc.('Goes with the territory' is also used.)
It is the temperature range in which the body doesn't shiver or sweat, but has an idiomatic sense of a place where people feel comfortable, where they can avoid the worries of the world. It can be physical or mental.
If you cut it fine, you only just manage to do something- at the very last moment.
'Cut things fine' is the same. 'Cut it a bit fine' is a common variation.
Do what is required, come up to expectations. For example, Kate delivered the goods and got us the five votes we needed. This phrase alludes to delivering an order of groceries or other items. [Colloquial; second half of 1800s]
Someone who does someone's dirty work, carries out the unpleasant jobs that the first person doesn't want to do. Someone who seems to enjoy doing this is sometimes known as a 'henchman'.