
Umgang mit
handling of
The way in which one deals with, treats, or handles someone or something.
Der sichere Umgang mit Chemikalien ist im Labor oberstes Gebot.
Safe handling of chemicals is the top priority in the laboratory.
handling / interaction
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handling of
The way in which one deals with, treats, or handles someone or something.
Der sichere Umgang mit Chemikalien ist im Labor oberstes Gebot.
Safe handling of chemicals is the top priority in the laboratory.

interaction
Social contact or a relationship with other people.
Er ist im Umgang sehr freundlich und offen.
He is very friendly and open in his interactions.

walkway / gallery
A covered passageway that runs along the outside of a building, especially a church tower.
Vom Umgang des alten Leuchtturms hatte man einen weiten Blick über das Meer.
From the gallery of the old lighthouse, you had a wide view over the sea.
'Der Umgang' (handling/interaction) is the noun for the separable verb 'umgehen' (to deal with/handle). The meaning of the noun corresponds directly to that of the verb: 'mit etwas umgehen' (to handle something) becomes 'der Umgang mit etwas' (the handling of something).
Man muss lernen, mit Stress umzugehen.
You have to learn to deal with stress.
In the most common meanings, 'Umgang' is almost always used with the preposition 'mit' + dative. This combination describes how one handles something or with whom one has contact.
Der Umgang mit den neuen Kollegen fällt ihm leicht.
Interacting with the new colleagues comes easily to him.
You can tell whether the handling of a thing or social contact with a person is meant from the word after the preposition 'mit'. 'Der Umgang mit dem Computer' (handling/use of the computer; thing) vs. 'Der Umgang mit den Kollegen' (interaction with colleagues; people).
Der tägliche Umgang mit Kunden erfordert viel Geduld.
Daily interaction with customers requires a lot of patience.
The expression 'im Umgang' describes a person's social behavior. You can say someone is 'freundlich im Umgang' (friendly to deal with) or 'schwierig im Umgang' (difficult to deal with).
Mein neuer Chef ist im Umgang sehr unkompliziert und direkt.
My new boss is very straightforward and direct to deal with.
The meaning 'überdachter Gang' (covered passageway) is a technical term from architecture. It is used only very rarely in everyday language and is usually limited to descriptions of historic buildings such as churches or towers.
Vom Umgang des Kirchturms hat man eine wunderbare Aussicht auf die Stadt.
From the gallery of the church tower, you have a wonderful view of the city.
contact
Kontakt can refer to a single connection between people or one that has just been established. Umgang refers more to ongoing personal interaction. Kontakt is therefore more appropriate for a first conversation; when people regularly spend time together, Umgang is more appropriate.

Nach vielen gemeinsamen Abenden pflegte Jonas einen freundschaftlichen Umgang mit den neuen Nachbarn.
After many evenings together, Jonas maintained friendly relations with the new neighbors.
Beim ersten Treffen nahm Jonas Kontakt zu den neuen Nachbarn auf.
At their first meeting, Jonas made contact with the new neighbors.