In der Cloud finde ich unsere Notizen wieder, obwohl ich jetzt zu Hause bin.

German main clauses follow the V2 rule: the finite verb must be in the second position.

So in:

In der Cloud finde ich unsere Notizen wieder

the first position is taken by In der Cloud, so the finite verb finde must come next. That pushes the subject ich after the verb.

Compare:

• Ich finde unsere Notizen in der Cloud wieder.
• In der Cloud finde ich unsere Notizen wieder.

Both are correct. The second version puts more emphasis on In der Cloud.

Here, in is used to show location, not movement, so it takes the dative case.

• die Cloud = the cloud
• in der Cloud = in the cloud

A useful rule:

• in + dative = location, where something is
• in + accusative = direction, where something is going

Examples:

• Die Notizen sind in der Cloud. = The notes are in the cloud.
• Ich lade die Notizen in die Cloud hoch. = I upload the notes into the cloud.

So in your sentence, the notes are located there, which is why German uses der.

Wiederfinden is a verb meaning to find again, to recover, or to locate something again.

In this sentence, it means something like:

• I can find our notes again in the cloud
• I can retrieve our notes in the cloud

It is made from:

• finden = to find
• wieder = again

So the basic idea is finding something that was already there, but that you now have access to again.

Because wiederfinden is a separable verb.

In a normal main clause, the finite part goes in the usual verb position, and the prefix goes to the end:

• Ich finde die Datei wieder.
• Wir finden unsere Notizen wieder.

That is why you get:

In der Cloud finde ich unsere Notizen wieder

and not In der Cloud wiederfinde ich...

But when the verb is in the infinitive or participle, it stays together:

• Ich möchte unsere Notizen wiederfinden.
• Ich habe unsere Notizen wiedergefunden.

Obwohl means although and introduces a subordinate clause.

In German, subordinate clauses:

1. are usually separated by a comma
2. send the finite verb to the end

So:

..., obwohl ich jetzt zu Hause bin.

Breakdown:

• obwohl = although
• ich = I
• jetzt = now
• zu Hause = at home
• bin = am

This is standard subordinate-clause word order in German.

Compare:

• Main clause: Ich bin jetzt zu Hause.
• Subordinate clause: ..., obwohl ich jetzt zu Hause bin.

Obwohl introduces a contrast: something is true despite something else.

So the sentence suggests:

• I am at home now,
• but despite that, I can still access the notes in the cloud.

It often corresponds to English although, even though, or though.

Examples:

• Obwohl ich müde bin, arbeite ich. = Although I am tired, I am working.
• Obwohl es regnet, gehen wir spazieren. = Even though it’s raining, we’re going for a walk.

These expressions mean different things:

• zu Hause = at home
• nach Hause = to home / homeward
• im Haus = in the house

In your sentence, the speaker is describing their current location, so zu Hause is correct:

• ich bin zu Hause = I am at home

Compare:

• Ich bin zu Hause. = I am at home.
• Ich gehe nach Hause. = I am going home.
• Ich bin im Haus. = I am in the house.

Zu Hause is the natural expression for being at home, not just physically inside a building.

Unsere Notizen is the direct object of finden, so it is in the accusative case.

But here, the noun is plural, and for unser- words, the form unsere is used for both:

• nominative plural
• accusative plural

So:

• unsere Notizen = our notes

There is no extra visible change here, which is why it can look simpler than expected.

Singular forms show the case more clearly:

• unsere Notiz can be nominative singular feminine
• unsere Notiz can also be accusative singular feminine

So in this sentence, unsere Notizen is correct and normal.

Yes, jetzt can move, because German word order is somewhat flexible, especially with adverbs. The version in your sentence is very natural:

..., obwohl ich jetzt zu Hause bin.

This means roughly although I am at home now.

Other possibilities are also possible, with slightly different emphasis:

• ..., obwohl ich zu Hause bin.
• ..., obwohl ich zu Hause jetzt bin. (possible, but less natural in most contexts)
• Jetzt bin ich zu Hause.
• Ich bin jetzt zu Hause.

So jetzt is placed where it sounds natural and clearly modifies the situation in the subordinate clause.

Yes, but the meaning would change slightly.

• In der Cloud finde ich unsere Notizen wieder
  = I can find our notes again / retrieve them there

• In der Cloud finde ich unsere Notizen
  = I find our notes in the cloud

Without wieder, the idea of recovering or finding them again becomes weaker or disappears. With wiederfinden, the sentence suggests that the notes were already known, saved, or expected to be there, and now the speaker can access them again.

Yes, in standard usage it is usually:

• die Cloud

So the forms are:

• die Cloud
• der Cloud (dative)
• die Cloud (accusative)

That is why the sentence has:

In der Cloud

This follows normal German article and case patterns, even though Cloud is an English loanword.