Buď budu vytírat kuchyni, nebo budu vysávat pokoj.

It means either ... or.

• buď introduces the first option
• nebo introduces the second option

So the sentence is structured as a clear choice between two alternatives. Czech can use just nebo for plain or, but buď ... nebo makes the contrast more explicit and balanced.

Because vytírat and vysávat are imperfective verbs.

In Czech, the future of an imperfective verb is formed with:

• budu
  • infinitive for I will ...
• more generally, a future form of být
  • infinitive

So:

• budu vytírat = I will mop / I will be mopping
• budu vysávat = I will vacuum / I will be vacuuming

Czech does not usually make the same simple future vs. future continuous distinction that English does, so one Czech form can cover both.

Because those are the perfective partners of these verbs, and they shift the meaning slightly.

Compare:

• budu vytírat kuchyni = I will be mopping the kitchen / I will mop the kitchen, with focus on the activity or process
• vytřu kuchyni = I will mop the kitchen up, with focus on completing it

And similarly:

• budu vysávat pokoj = I will be vacuuming the room
• vysaju pokoj = I will vacuum the room completely

So the sentence uses imperfective verbs because it presents the activities as ongoing actions rather than completed results.

They are the direct objects of the verbs, so they are in the accusative case.

• kuchyně → kuchyni in the accusative singular
• pokoj stays pokoj in the accusative singular because masculine inanimate nouns often look the same in nominative and accusative

So:

• vytírat kuchyni = to mop the kitchen
• vysávat pokoj = to vacuum the room

Because Czech has no articles.

Unlike English, Czech does not normally use separate words for the or a/an. Whether something is definite or indefinite is understood from context.

So:

• kuchyni can mean the kitchen or a kitchen
• pokoj can mean the room or a room

In most real contexts here, English would probably use the.

Because Czech often drops subject pronouns when the verb already shows who the subject is.

The form budu already tells you the subject is I.

So:

• Budu vytírat kuchyni = I will mop the kitchen

You can add já, but usually only for emphasis, contrast, or clarity:

• Já budu vytírat kuchyni, ne ty. = I will mop the kitchen, not you.

Yes, the second budu can sometimes be left out if the meaning is clear:

• Buď budu vytírat kuchyni, nebo vysávat pokoj.

That said, repeating it is very natural and often sounds clearer and more balanced:

• Buď budu vytírat kuchyni, nebo budu vysávat pokoj.

Repeating the auxiliary makes both alternatives feel fully parallel.

Because these verbs can take the place being cleaned as a direct object.

So Czech can say:

• vysávat pokoj = vacuum the room
• vytírat kuchyni = mop the kitchen

This often means cleaning the floor in that room.

If you said:

• vysávat v pokoji

that would mean to vacuum in the room, which is slightly different. It focuses more on where the action happens, not on the room as the thing being cleaned.

Yes. Czech word order is fairly flexible.

The given version is a neutral, natural way to say it:

• Buď budu vytírat kuchyni, nebo budu vysávat pokoj.

But other orders are possible for emphasis, for example:

• Buď budu kuchyni vytírat, nebo budu pokoj vysávat.

That sounds a bit more marked and can emphasize the objects. A learner should usually stick with the original order unless there is a reason to shift the focus.

Because here nebo joins two clauses, each with its own verb phrase:

• budu vytírat kuchyni
• budu vysávat pokoj

In Czech, a comma is commonly used before coordinating conjunctions like nebo when they connect full clauses.

But if nebo joins just words or short phrases, there is usually no comma:

• kuchyni nebo pokoj

So the comma here is about clause structure, not about the word nebo by itself.