Změníme cenu.

Because změnit is a perfective verb. In Czech, perfective verbs do not normally describe a present ongoing action. Their present-tense forms usually have future meaning.

So:

• změníme = literally a present-form conjugation
• but in meaning = we will change

This is very common in Czech:

• uděláme = we will do
• napíšou = they will write
• změníme = we will change

If you want to talk about an action happening right now or repeatedly, Czech would usually use the imperfective verb instead, such as měníme.

The infinitive is změnit.

So the pattern is:

• změnit = to change
• změním = I will change
• změníš = you will change
• změníme = we will change

This verb is perfective, so it often refers to a completed future action.

Because cenu is the accusative singular form of cena.

• cena = price, cost
• cenu = price as a direct object

In Změníme cenu, the thing being changed is the price, so Czech uses the accusative case.

A simple comparison:

• Cena je vysoká. = The price is high.
  Here cena is the subject, so it stays in the nominative.

• Změníme cenu. = We will change the price.
  Here cenu is the object, so it goes into the accusative.

This is a very common pattern with feminine nouns ending in -a:

• kniha → knihu
• firma → firmu
• cena → cenu

Because Czech often omits subject pronouns when they are already clear from the verb ending.

The ending -me in změníme already tells you the subject is we.

So both of these can mean the same thing:

• Změníme cenu.
• My změníme cenu.

Usually, my is added only for emphasis, contrast, or clarity. For example:

• My změníme cenu, ale oni změní podmínky.
  We will change the price, but they will change the conditions.

Without emphasis, Czech normally just says Změníme cenu.

No, Czech word order is fairly flexible, although some orders sound more neutral than others.

• Změníme cenu. = the most neutral/basic order
• Cenu změníme. = puts more emphasis on the price
• Změníme tu cenu. = adds that/the depending on context

Because Czech uses case endings, the role of the noun is still clear even if the order changes.

That said, word order often affects focus and emphasis, not the core meaning.

The main difference is aspect.

Změníme cenu

• from změnit (perfective)
• means we will change the price
• focuses on the action as a whole, often as a completed future event

Měníme cenu

• from měnit (imperfective)
• usually means we are changing the price or we change the price
• focuses on the process, repetition, or ongoing action

So:

• Změníme cenu zítra. = We will change the price tomorrow.
• Právě měníme cenu. = We are changing the price right now.

This perfective/imperfective distinction is one of the most important features of Czech verbs.

A rough guide is:

ZMNYE-nee-me TSEN-oo

A few useful details:

• Czech stress is usually on the first syllable of each word:
  • ZMĚníme
  • CEnu
• c in Czech is pronounced like ts in cats
• ě does not sound exactly like English ye, but it often causes the preceding consonant to sound softened or palatalized

A learner-friendly approximation is:

• změníme ≈ ZMNYE-nee-me
• cenu ≈ TSEN-oo

You do not need to pronounce it perfectly at first; the key things are:

• first-syllable stress
• c = ts
• clear vowels

Not normally.

Změníme cenu most naturally means We will change the price.

If you want to say Let’s change the price, Czech usually uses the 1st person plural imperative:

• Změňme cenu. = Let’s change the price.

So the difference is:

• Změníme cenu. = We will change the price.
• Změňme cenu. = Let’s change the price.

Those forms are easy to confuse at first, but they serve different functions.

Czech does not have articles like the and a, so cenu by itself can mean either the price or a price, depending on context.

So Změníme cenu could be understood as:

• We will change the price
• We will change a price

In real situations, context usually makes it clear. If needed, Czech can add other words for clarity, for example:

• tu cenu = that price / the price
• nějakou cenu = some price
• jednu cenu = one price / a certain price

But very often, Czech simply leaves this unspecified.

Cena is a feminine noun.

Its basic singular pattern is:

• nominative: cena
• accusative: cenu
• genitive: ceny
• dative: ceně
• locative: ceně
• instrumental: cenou

For this sentence, the important point is that a feminine noun ending in -a often changes to -u in the accusative singular, which is exactly why we get cenu.