Na této stanici vystoupíme a půjdeme pěšky k hotelu.

With transport stops and stations, Czech very often uses na rather than v.

So:

• na stanici = at the station / at this stop
• na zastávce = at the stop

Using v here would usually sound unnatural in this context. This is one of those preposition patterns that learners mostly have to get used to.

Because after na in the meaning of location, Czech uses the locative case.

Both words have to change form:

• tato → této
• stanice → stanici

So:

• tato stanice = this station/stop
• na této stanici = at this station/stop

Here vystoupíme means we will get off or we will get out of a vehicle.

It comes from the verb vystoupit, which can mean things like:

• get off a bus/train/tram/metro
• get out
• step out
• sometimes even go up or appear, in other contexts

In this sentence, it clearly means get off public transport.

Because vystoupit is a perfective verb.

In Czech, perfective verbs do not normally have a true present meaning. Their present-tense forms are used to talk about the future.

So:

• vystoupíme = we will get off

This is very common in Czech:

• udělám = I will do
• přijde = he/she will come
• vystoupíme = we will get off

Because půjdeme is the future form of jít.

The verb jít = to go on foot, and its future forms are irregular:

• půjdu = I will go
• půjdeš = you will go
• půjdeme = we will go

By contrast:

• jdeme usually means we are going / we go

So in this sentence, půjdeme is needed because the meaning is future: we will walk/go.

Pěšky means on foot.

It is an adverb, not an adjective.

Examples:

• Jdu pěšky. = I’m going on foot.
• Půjdeme pěšky k hotelu. = We’ll walk to the hotel.

Related word:

• pěší = pedestrian, on-foot, walking

For example:

• pěší zóna = pedestrian zone

K hotelu means to/toward the hotel or up to the hotel.

The preposition k is used with the dative case and often expresses movement toward a person or place.

• k hotelu = to the hotel / toward the hotel

By contrast:

• do hotelu = into the hotel

So the difference is:

• Půjdeme k hotelu. = We’ll walk to the hotel.
• Půjdeme do hotelu. = We’ll go into the hotel.

In your sentence, k hotelu focuses on getting there on foot.

Hotelu is dative singular.

That is because the preposition k requires the dative:

• k hotelu
• k domu
• k nádraží

So the basic pattern is:

• k
  • dative = to / toward

Because Czech often leaves out subject pronouns when they are not needed.

The verb endings already show who is doing the action:

• vystoupíme = we will get off
• půjdeme = we will go

You could say my vystoupíme a půjdeme..., but that would usually add emphasis, such as:

• we will get off, not someone else

In neutral speech, the pronoun is normally omitted.

No, Czech word order is fairly flexible.

The given sentence is a natural neutral version:

• Na této stanici vystoupíme a půjdeme pěšky k hotelu.

You could also say:

• Vystoupíme na této stanici a půjdeme pěšky k hotelu.

Both are correct. The difference is mainly emphasis:

• starting with Na této stanici highlights the place
• starting with Vystoupíme highlights the action

Grammatically, a simply means and.

But in this sentence, it naturally suggests sequence:

• first we get off
• then we walk to the hotel

So in English, the meaning is close to and then, even though Czech just uses a.

Not always, though they can overlap.

Very roughly:

• stanice = station, or sometimes a named transit stop
• zastávka = stop

Examples:

• vlakové nádraží / stanice = train station
• autobusová zastávka = bus stop
• stanice metra = metro station

In many public transport contexts, stanice can refer to a stop on a route, but zastávka is more specifically stop. The best choice depends on the exact type of transport.