Если Вы хотите помочь бездомным животным, можно принести в приют корм и переноску.

Capitalized Вы is a polite, formal way to write you in Russian.

• вы = you (plural), or you in a neutral/general sense
• Вы = polite/formal you when addressing one person, or sometimes a group in respectful public writing

In notices, announcements, charity appeals, and official-style texts, capital Вы is very common.

Because the verb помочь requires the dative case.

So:

• бездомные животные = homeless animals (nominative, dictionary/basic form)
• помочь бездомным животным = to help homeless animals (dative)

This is something you just have to learn with the verb:

• помочь кому? = to help whom? → dative

Examples:

• помочь другу = help a friend
• помочь детям = help children
• помочь животным = help animals

Because adjectives must agree with the nouns they describe.

Here, животным is:

• plural
• dative

So the adjective бездомный must also be:

• plural
• dative

That gives:

• бездомным животным

This is normal adjective-noun agreement in Russian.

Можно принести is an impersonal construction meaning something like:

• it is possible to bring
• you can bring
• one may bring

It sounds a little more general, softer, and less direct than Вы можете принести.

Compare:

• Вы можете принести корм. = You can bring food.
• Можно принести корм. = Food can be brought / You may bring food.

In public notices and instructions, можно + infinitive is very common.

Because в приют shows motion toward a place.

With в:

• в + accusative = into/to a place
• в + prepositional = in/at a place

So:

• принести в приют = bring to the shelter
• в приюте = in the shelter

Examples:

• идти в школу = go to school
• быть в школе = be at school

Here the action is moving something to the shelter, so в приют is correct.

Because переноска is a feminine noun, and here it is a direct object, so it goes into the accusative singular.

• nominative: переноска
• accusative: переноску

The verb принести takes a direct object:

• принести что? = bring what?

So:

• корм stays корм
• переноска becomes переноску

Both words are direct objects, but they belong to different noun types.

• корм is a masculine inanimate noun, and for many masculine inanimate nouns, the accusative looks the same as the nominative
• переноска is a feminine noun, and feminine nouns in -а usually change to -у in the accusative singular

So:

• корм → корм
• переноска → переноску

Here корм means animal food / pet food / feed, not human food.

It is often used as a general mass noun, similar to pet food in English.

So in this sentence:

• принести корм = bring pet food / animal feed

Depending on context, it could mean dry food, canned food, etc.

In this sentence, переноска means a pet carrier: the container used to transport a cat, small dog, or other animal.

This is a very common shelter-related word.

So:

• корм = pet food
• переноска = carrier

Принести is the perfective form, and it suggests a single completed action: bringing something in.

That fits the context well, because the sentence is about a concrete helpful action someone can do.

Compare:

• приносить = imperfective, repeated/process
• принести = perfective, one completed act

So:

• можно принести корм = you can bring some food (as a concrete act)
• можно приносить корм would sound more like bringing food regularly or in general over time

Because Если Вы хотите помочь бездомным животным is a subordinate clause introduced by если (if).

In Russian, subordinate clauses are normally separated by a comma.

So the structure is:

• Если ... , ...
• If ... , ...

This is very similar to English:

• If you want to help homeless animals, you can bring...

It literally means homeless animals, but in real usage it often corresponds to English stray animals or homeless pets.

In charity and shelter contexts, бездомные животные is a very normal phrase for animals without owners or permanent homes.

So depending on the translation style, you may see:

• homeless animals
• stray animals
• abandoned/homeless pets

Yes. Russian word order is fairly flexible, because the cases show the grammatical relationships.

This sentence could be rearranged in different ways depending on emphasis, for example:

• Если Вы хотите помочь бездомным животным, можно принести в приют корм и переноску.
• Если Вы хотите помочь бездомным животным, корм и переноску можно принести в приют.

The original version sounds natural and neutral. Changing the order usually changes emphasis, not the basic meaning.