Tady je platba parkovného.

Tady means here. It points to something near the speaker, very much like English here.

It is close in meaning to zde, but the tone is different:

• tady = common, everyday, spoken
• zde = more formal, written, official

So Tady je platba parkovného sounds natural in normal speech, while Zde je platba parkovného would sound more formal.

Je is the 3rd person singular of být = to be.

So the structure is basically:

• Tady je ... = Here is ...

Czech often uses je in this kind of identifying sentence, just like English uses is in Here is the payment.

Czech does not have articles.

So where English says:

• the payment
• a payment

Czech simply says:

• platba

The exact meaning depends on context. Czech speakers understand from the situation whether it means a payment, the payment, or something similar.

Platba is in the nominative singular.

That is because it is the main noun in the sentence — the thing being identified by Tady je ...

You can think of the sentence as:

• Here is the payment
• This is the payment

In Czech, the noun after this kind of is sentence is normally in the nominative.

Also:

• platba is a feminine noun
• dictionary form: platba

Because after platba, Czech commonly uses the genitive to say what is being paid.

So:

• platba = payment
• platba parkovného = payment of the parking fee

Here the question is:

• platba čeho? = payment of what?

Answer:

• parkovného

So parkovného is the genitive singular form.

Parkovné means parking fee or parking charge.

Grammatically, it behaves like a substantivized adjective — that means it has adjective-type endings, but it is used as a noun.

That is why its forms look like this:

• nominative: parkovné
• genitive: parkovného

This is similar to other Czech words like:

• jízdné = fare
• vstupné = admission fee

So even though it means a thing, its endings follow an adjective pattern.

Yes, that is also possible.

There is a small difference in feel:

• platba parkovného = payment of the parking fee
• platba za parkování = payment for parking

Both are understandable.
The first one focuses on the fee itself.
The second one focuses more on the activity/service of parking.

Depending on context, one may sound more natural than the other.

No, Czech word order is fairly flexible, but changing it changes the emphasis.

• Tady je platba parkovného. = Here is the parking-fee payment.
• Platba parkovného je tady. = The payment is here.
• Parkovného je tady platba. = grammatically possible in special contexts, but unusual

The version with Tady je ... is natural when you are pointing something out or presenting it.

It is grammatical, but whether it sounds natural depends on the situation.

It works best in a context like:

• showing someone a payment entry
• pointing to a payment record
• presenting a receipt or item on a screen

In some situations, Czech might use a more specific phrase instead, for example:

• Tady je potvrzení o zaplacení parkovného. = Here is the confirmation of payment of the parking fee.
• Tady je platba za parkování. = Here is the payment for parking.

So the sentence is not wrong, but the most natural wording depends on what exactly you are referring to.

A rough pronunciation guide for an English speaker is:

• Tady ≈ TAH-dih
• je ≈ yeh
• platba ≈ PLAHD-ba
• parkovného ≈ PAR-kov-nay-ho

A few useful points:

• j in Czech is like English y
• á is a long vowel
• é is also a long vowel
• h is pronounced, unlike in some English words

A rough full pronunciation would be:

TAH-dih yeh PLAHD-ba PAR-kov-nay-ho