When people change jobs or work units they are made to feel right at home?

Sadly, no

It is very rare and fortunate situation, if walking in a new job is like coming home. If that is the case, cherish it.

Usually the old employees watch from afar when a new person is introduced in the community. It will take time, and lots of it, until they are assured that you are a) a good worker (work ethics) and b) a good person.

If all goes well in about six months the community has warmed up for you and you can feel part of it. This requires a lot of work from you (and from them too). You have to 'sneak yourself in', to take part in every social event they have, go chat to them over the water cooler and so forth. If you stay inside your cubicle 100% of the time, you never get to know your colleagues and thus you stay an outsider.

Worst case scenario: if the social relations within the work community have been inflamed, there's bickering, taking sides and unhealthy rivalry, it is neigh impossible to feel safe, not to mention -at home-, in an environment like that.
That is eat-or-be-eaten

scenario. If you do not mind your steps, you might find an enemy and become a target for bullying.

Let's hope your new job is more like the first example, where a healthy social structure ensures relaxing and supportive environment.