Если хотите, я могу подвезти Вас до метро после работы.

Хотите is the form used with вы:

• вы = you (plural), or you (singular formal/polite)
• хотите = you want for вы

So Если хотите means If you want when speaking politely to one person or to more than one person.

If you were speaking to one friend informally, you would say:

• Если хочешь, я могу подвезти тебя до метро после работы.

Because Если хотите is a subordinate clause: If you want.

Russian, like English, normally separates this kind of introductory if-clause with a comma:

• Если хотите, я могу подвезти Вас до метро после работы.

You can think of the structure as:

• If you want, / I can give you a ride...

Подвезти usually means to give someone a lift / ride somewhere, most often by car.

It often suggests:

• taking someone along in a vehicle
• usually not necessarily all the way to their final destination
• just helping them get to a convenient place

So подвезти до метро is very natural: give you a ride to the metro.

It is not the same as a general verb like везти (to transport / take by vehicle). Подвезти has the helpful, practical sense of dropping someone off.

After мочь (can / be able to), Russian uses the infinitive.

So:

• я могу = I can
• подвезти = to give a ride

Together:

• я могу подвезти = I can give you a ride

This is exactly like English can + verb.

Вас is the accusative form of Вы.

Here it is the direct object of подвезти:

• подвезти Вас = give you a ride

The capital letter is a politeness convention in writing. It often appears in messages, letters, ads, or polite communication when addressing one person formally.

So:

• Вас = polite written style
• вас = also correct in many contexts

Capitalizing Вы / Вас / Вам is not required in every modern text, but it is common when the writer wants to sound especially respectful.

До means up to / as far as / to in the sense of reaching a point.

So:

• подвезти до метро = give someone a ride to the metro

This usually means to the metro station / to the metro entrance area, not inside the metro.

Compare:

• до метро = to the metro, as far as the metro
• к метро = toward the metro / up to the metro area; possible in some contexts, but less standard here
• в метро = into the metro / in the metro, which does not fit with driving someone there

So до метро is the natural choice.

It actually is in the case required by до, which is the genitive. But метро is an indeclinable noun, so its form stays the same.

Normally:

• до
  • genitive

But with метро:

• nominative: метро
• genitive: метро
• dative: метро
• etc.

So the case changes grammatically, but the word itself does not change in form.

Because после requires the genitive case.

The noun работа becomes работы in the genitive singular:

• работа = work
• после работы = after work

In this sentence, it means after the workday / after work.

This is a very common pattern in Russian:

• после урока = after the lesson
• после фильма = after the film
• после работы = after work

Подвезти is the perfective infinitive. It is used because the speaker is offering a single, complete action:

• one ride
• one occasion
• one completed result

That fits the situation well:

• I can give you a ride to the metro after work.

The imperfective partner would be подвозить. That would be more about repeated action, process, or habit, for example:

• Я могу подвозить Вас до метро каждый день.
• I can drive you to the metro every day.

So in this sentence, подвезти is the natural choice.

Yes. Russian word order is flexible, though some orders sound more natural than others.

The original sentence is very natural:

• Если хотите, я могу подвезти Вас до метро после работы.

You could also say:

• Я могу подвезти Вас до метро после работы, если хотите.
• После работы я могу подвезти Вас до метро, если хотите.

The basic meaning stays the same, but the emphasis changes slightly:

• starting with Если хотите foregrounds the condition
• starting with После работы foregrounds the time
• starting with Я могу foregrounds the speaker’s offer

It is polite/formal, mainly because of:

• хотите instead of хочешь
• Вас instead of тебя

So this would be appropriate when speaking to:

• a colleague you address formally
• someone older
• a person you do not know well
• more than one person

An informal version to one friend would be:

• Если хочешь, я могу подвезти тебя до метро после работы.

So the grammar here signals respectful or non-casual address.