Я устал после работы, впрочем, мне хочется немного погулять.

Устал is the masculine singular past-tense form.

In Russian, past-tense verbs agree with the gender and number of the subject:

• я устал = I got tired / I am tired now (male speaker)
• я устала = I got tired / I am tired now (female speaker)
• мы устали = we got tired / we are tired now

So the sentence as written suggests that the speaker is male. If the speaker were female, it would be:

• Я устала после работы, впрочем, мне хочется немного погулять.

Because после requires the genitive case.

The base form is:

• работа = work

After после (after), it becomes:

• после работы = after work

This is a very common pattern:

• после урока = after the lesson
• после фильма = after the film
• после обеда = after lunch

So работы here is the genitive singular of работа.

In this sentence, после работы most naturally means after work in the everyday sense: after finishing your workday.

Even though работа can mean work, job, or task depending on context, here it is understood idiomatically as:

• после работы = after work / after getting off work

This is one of the most common fixed expressions in Russian.

Впрочем is a discourse word that means something like:

• however
• though
• all the same
• on the other hand

In this sentence, it introduces a mild contrast:

• Я устал после работы = I’m tired after work,
• впрочем, мне хочется немного погулять = however / still, I feel like taking a short walk.

So the idea is: I’m tired, but despite that, I still want to go for a little walk.

It is a little more literary or polished than a simple но (but), though it is still perfectly normal Russian.

Because впрочем is being used as a parenthetical/introductory word here.

Russian often sets off such words with commas when they comment on the whole statement rather than functioning as a normal sentence part.

So:

• Я устал после работы, впрочем, мне хочется немного погулять.

The commas show that впрочем means something like however / still / on the other hand.

A rough English parallel would be:

• I’m tired after work; however, I feel like taking a short walk.

This is a very common Russian pattern.

• я хочу = I want
• мне хочется = I feel like / I have a desire to

Literally, мне хочется is built around an impersonal verb and uses the dative case:

• мне = to me
• хочется = it is wanted / one feels like

So the structure is closer to:

• To me, it feels desirable to...

In natural English, of course, you translate it as:

• I feel like...
• I’d like to...

This often sounds softer, more spontaneous, or more mood-based than я хочу.

The difference is mostly about nuance.

• я хочу = a more direct, straightforward I want
• мне хочется = I feel like, I’m in the mood to, I’d kind of like to

In this sentence, мне хочется немного погулять sounds natural because it expresses a passing desire or inclination, not a strong demand or firm intention.

Compare:

• Я хочу погулять. = I want to go for a walk.
• Мне хочется погулять. = I feel like going for a walk.

Both are correct, but мне хочется is often more idiomatic for feelings like this.

The -ся ending is part of the fixed verb хотеться, which is different from хотеть.

• хотеть = to want
• хотеться = to feel like, to have a desire to

So:

• я хочу comes from хотеть
• мне хочется comes from хотеться

You should learn мне хочется as a set pattern, because it is extremely common in Russian.

Other examples:

• Мне хочется спать. = I feel sleepy / I want to sleep.
• Мне хочется есть. = I feel like eating / I’m hungry.
• Ему хочется домой. = He feels like going home.

Погулять is the perfective form, and here it suggests going for a walk for a while or taking a short walk.

• гулять = to walk, to stroll, to be out walking (imperfective)
• погулять = to go for a walk, usually as a single, bounded activity (perfective)

Because the sentence says немного (a little / for a bit), погулять fits very naturally:

• мне хочется немного погулять = I feel like going for a little walk / walking a bit

If you said немного гулять, that would sound less natural here.

Немного means a little, a bit, or for a short time.

In:

• мне хочется немного погулять

it softens the action and shows that the speaker does not mean a long walk, just a short one.

So the idea is:

• I feel like taking a little walk
• I feel like walking a bit

It modifies the infinitive погулять.

No, Russian word order is fairly flexible, but the version you have is the most natural neutral one.

• Я устал после работы, впрочем, мне хочется немного погулять.

This puts the basic facts in a clear order:

1. I’m tired after work.
2. However, I still feel like walking a bit.

You can move parts around for emphasis, but that changes the focus or style. For example:

• После работы я устал, впрочем, мне хочется немного погулять.
  This emphasizes after work a bit more.

• Мне, впрочем, хочется немного погулять.
  This sounds more marked and less neutral.

So the original order is a good standard model for learners.

The main word stresses are:

• Я устáл после рабóты, впрóчем, мне хóчется немнóго погуля́ть.

Approximate stress points:

• устáл
• рабóты
• впрóчем
• хóчется
• немнóго
• погуля́ть

Learning the stress is important because Russian stress is not always predictable.