Chcemy kontynuować segregację odpadów.

Chcemy is the 1st person plural form of chcieć (to want).

So:

• chcę = I want
• chcesz = you want
• chce = he/she/it wants
• chcemy = we want
• chcecie = you all want
• chcą = they want

In this sentence, chcemy means we want.

After chcieć (to want), Polish usually uses another verb in the infinitive.

So the structure is:

• chcemy + infinitive
• we want + to do something

Examples:

• Chcemy iść. = We want to go.
• Chcemy pracować. = We want to work.
• Chcemy kontynuować... = We want to continue...

So kontynuować stays in its basic dictionary form, just like English to continue.

Because segregacja is the direct object of kontynuować, it has to be in the accusative case.

The noun segregacja is feminine, and its forms are:

• segregacja = nominative
• segregację = accusative

So:

• Segregacja jest ważna. = Waste sorting is important.
  Here it is the subject, so nominative: segregacja
• Kontynuujemy segregację. = We continue the sorting.
  Here it is the object, so accusative: segregację

That final -ę is a very common accusative ending for feminine nouns ending in -a.

Because odpady depends on segregacja in the sense of sorting of waste. After a noun like segregacja, Polish often uses the genitive.

So:

• odpady = nominative plural
• odpadów = genitive plural

In this sentence:

• segregacja odpadów = sorting of waste / waste sorting

This is similar to other Polish noun combinations:

• produkcja samochodów = production of cars
• sprzedaż książek = sale of books
• segregacja odpadów = sorting of waste

So odpadów is here because it means of waste, not because it is the main object of the verb.

Literally, it means segregation of waste.

In natural English, that is usually:

• waste sorting
• sorting waste
• sometimes separating waste

In Polish, segregacja odpadów is a very common phrase for separating trash into categories like paper, glass, plastic, and bio-waste.

Yes. That is a very natural alternative.

Compare:

• Chcemy kontynuować segregację odpadów. = We want to continue waste sorting.
• Chcemy dalej segregować odpady. = We want to keep sorting waste / continue sorting waste.

The difference is mainly stylistic:

• kontynuować segregację sounds a bit more formal or official
• dalej segregować odpady sounds a bit more everyday and direct

Both are correct.

Polish often allows both a noun-based structure and a verb-based structure.

Here are the two versions:

• kontynuować segregację odpadów
• dalej segregować odpady

Both are correct, but they feel slightly different:

• kontynuować segregację odpadów is a bit more formal, abstract, or administrative
• segregować odpady is more direct and action-based

English does this too:

• continue waste sorting
• continue sorting waste

Yes, Polish word order is fairly flexible, although the neutral order here is:

• Chcemy kontynuować segregację odpadów.

You might also hear:

• Segregację odpadów chcemy kontynuować.
• Kontynuować segregację odpadów chcemy.

But these versions usually add emphasis or sound more marked. For a learner, the safest and most natural order is the original one.

A rough pronunciation guide is:

HHEM-y kon-tee-noo-OH-vatch seh-greh-GA-tsyeng od-PA-doof

A few useful points:

• ch sounds like a harsh h sound
• w is pronounced like English v
• ó sounds like oo
• ć at the end of kontynuować is a soft ch-like sound
• ę in segregację is a nasal vowel; at the end of a word, in normal speech, it may sound a bit like ehn/em depending on context
• stress is usually on the second-to-last syllable:
  • CHCE-my
  • kon-ty-NU-o-wać
  • se-gre-GA-cję
  • od-PA-dów

Kontynuować is normally used as an imperfective verb, because it describes an ongoing process: to continue.

If you want a perfective form, Polish often uses:

• skontynuować

Very roughly:

• kontynuować = to be continuing / to continue as a process
• skontynuować = to continue and bring that continuation about as a completed action

In your sentence, kontynuować is the natural choice because the idea is about continuing an activity, not emphasizing completion.

Polish does not have articles like English a/an or the.

So:

• segregacja odpadów can mean waste sorting, the sorting of waste, or a sorting of waste, depending on context

In this sentence, the meaning is understood without any article. Polish relies more on context than English does.

Yes, sometimes, but the tone changes.

• odpady = waste, refuse; more neutral or formal
• śmieci = trash, garbage; more everyday

So:

• segregacja odpadów is the standard official phrase
• segregacja śmieci is understandable and common in everyday speech, but a bit less formal

If you are talking about recycling rules, public notices, or official language, odpady is usually the better choice.