nach
to
Indicates a direction or destination. Often used for cities, countries without an article, and directions like left or right.
Wir fahren morgen nach Berlin.
We're driving to Berlin tomorrow.

to / after / according to
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to
Indicates a direction or destination. Often used for cities, countries without an article, and directions like left or right.
Wir fahren morgen nach Berlin.
We're driving to Berlin tomorrow.

The preposition 'nach' always takes the dative. Make sure to decline the noun and article after 'nach' correctly.
Nach einem langen Arbeitstag bin ich müde.
After a long workday, I'm tired.
'Nach' is used for directions to geographic destinations without an article. This applies to cities, continents, and most countries.
Im Sommer fliege ich nach Italien.
In the summer, I'm flying to Italy.
The expression 'nach Hause' (home, toward home) is a fixed exception and means movement to the place where you live. Don't confuse it with 'zu Hause' (at home), which describes being there.
Nach der Party fahre ich direkt nach Hause.
After the party, I'm going straight home.
In the meaning 'gemäß' (according to), 'nach' can also stand after the noun or pronoun it refers to. This construction is very common.
Meiner Ansicht nach sollten wir das Projekt starten.
In my view, we should start the project.
To describe a smell, taste, or impression, 'nach' is combined with verbs of perception such as 'riechen' (to smell), 'schmecken' (to taste), or 'aussehen' (to look).
Deine Hände riechen nach Seife.
Your hands smell like soap.
There are fixed verb-preposition combinations with 'nach'. Common examples are 'fragen nach' (to ask for/about), 'suchen nach' (to search for), and 'sich sehnen nach' (to long for).
Der Tourist fragte nach dem kürzesten Weg.
The tourist asked for the shortest way.
in
'in' and 'nach' can both express a direction or a time. For places, you use 'in' when going into a room, a building, or a country with an article. 'nach' is often used with cities, countries without an article, and directions like left or right. With time, the difference is different: 'in' says how long it is until a point in time, for example 'in zwei Stunden' (in two hours). 'nach' says that something happens later than another event, for example 'nach dem Essen' (after eating / after the meal). They are easy to confuse because both occur with place and time, but the question is different: where exactly to? or when in relation to something?

Nach dem Abendessen hat sie noch einen Spaziergang gemacht.
After dinner, she went for another walk.
Lukas fährt im Sommer in die Schweiz.
Lukas is going to Switzerland in the summer.