Without context, here's what they look like to me:
IpseDixit wrote:-to start in with something
To start talking about something the speaker doesn't want them to talk about - e.g. "Of course, as soon as he had a few drinks he started in with this whole business with his mother..."
It could have a different interpretation though, more context would help.
IpseDixit wrote:-work one's way around
This one is context-dependent, but it implies that someone is moving gradually through a space, usually in the course of completing some task or other. "Everyone here wants to talk to you, how are you going to handle it?" - "I'll just work my way around the room, one person at a time."
IpseDixit wrote:-pick one's way
This normally uses a phrasal verb rather than just "pick" on its own which adds a specific nuance. Most commonly I'd say "pick one's way through", meaning "to proceed through something carefully". E.g. "I picked my way through the thorns to get to the ball I had kicked into the bush." You could also have "pick one's way out" implying the same thing except that you used this method to escape from something. On its own, "pick one's way" would just mean "select own's path/method".
IpseDixit wrote:-that ugly fellow that fed you the door
Never heard this, but it sounds like a rather violent euphemism for slamming someone's face into a door.
IpseDixit wrote:-tug at something
Can't think of anything other than its literal meaning - to pull something gently, most often without actually moving the thing.
IpseDixit wrote:-but inexperienced though he was
"even though he was not experienced"
IpseDixit wrote:-the hair on the constable's neck stood on end
"stood up straight" (i.e. the constable was scared).
IpseDixit wrote:-it was stuffed into a bag and slung across the other shoulder. (Doesn't "to sling" mean to throw something with a sling?)
Rarely. Mostly it means just to throw something in general, but here has the meaning that it was draped over the shoulder (though done in a more haphazard manner).