Základní informace je tady.

Yes, informace can be confusing because its singular and plural nominative forms look the same.

• ta informace = the information / the piece of information
• ty informace = the pieces of information / the details

In your sentence, the verb je shows that the noun is being treated as singular:

• Základní informace je tady. = singular
• Základní informace jsou tady. = plural

So here it means something like the basic information is here or the essential info is here.

It is in the nominative case, because it is the subject of the sentence.

• základní informace = the subject
• je = is
• tady = here

So the structure is basically:

[Subject] + [verb] + [adverb of place]

Czech does not have articles like a, an, and the.

That means informace can mean:

• information
• the information
• sometimes even a piece of information

The exact meaning depends on context. In this sentence, English will often use the: The basic information is here.

Základní is the adjective meaning basic, fundamental, or essential. It has to agree with informace.

Here, informace is:

• feminine
• singular
• nominative

So the adjective also appears in the matching form: základní.

A useful thing to know is that adjectives ending in -ní often keep the same visible form in several different grammatical situations, so základní may not seem to change much.

Not necessarily. In Czech, základní often means:

• basic
• fundamental
• essential
• core

So in this sentence it can sound more like essential information or main information, not just simple information.

Czech word order is more flexible than English word order. Putting tady at the end is very natural.

Základní informace je tady. sounds like:

• The basic information is here.

If you change the word order, the meaning stays similar, but the focus changes a bit:

• Tady je základní informace. = Here is the basic information.
• Základní informace je tady. = emphasis is a bit more on here

So the sentence you have is completely normal and natural.

Yes.

• tady = here, common and natural in everyday speech
• zde = here, but more formal, official, or written

So:

• Základní informace je tady. = everyday, normal
• Základní informace je zde. = more formal

You may also hear tu, which is another everyday word for here.

In standard Czech, no. You normally need je, because it is the present-tense form of být (to be).

So:

• Základní informace je tady. = correct
• Základní informace tady. = not a normal complete standard sentence

Czech often drops subject pronouns, but it does not normally drop the main verb to be in a sentence like this.

A simple pronunciation guide is:

ZAH-klad-nee in-for-MA-tse ye TA-dih

A few helpful points:

• Czech stress is usually on the first syllable of each word.
• á is a long vowel.
• je sounds like ye.
• ce in informace sounds like tse.

A more careful approximation is:

ZÁ-klad-ní in-for-MA-ce je TA-dy

You would change the verb to jsou:

Základní informace jsou tady.

That means something like:

• The basic details are here
• The basic pieces of information are here

Notice that základní informace stays spelled the same. The verb is what makes the plural clear here.