měinián Chūnjié wǒ dōu huí lǎojiā kànkan yéye nǎinai.

In this sentence, 都 does not mean “all people”; it means “every time / without exception”.

• 每年春节我都回老家……
  = Every Spring Festival, I (without exception) go back to my hometown…

So 都 is distributing over the occasions (every year), not over multiple people.
You can think of it as: “On every such occasion, I do this.”

Yes, you can say:

• 每年春节我回老家看看爷爷奶奶。

The basic meaning (“Every Spring Festival I go back…”) is still clear.

Nuance:

• With 都: sounds slightly more emphatic — every year, without exception.
• Without 都: a neutral statement of a regular habit, less emphasis on “without exception”.

Both word orders are natural:

1. 每年春节我都回老家看看爷爷奶奶。
2. 我每年春节都回老家看看爷爷奶奶。

Differences are minor:

• Chinese often puts broader time expressions (like 每年, 春节) at the beginning of the sentence for context.
• Putting 我 first (version 2) is also common and perfectly correct.

What you generally don’t say is something odd like 春节每年我都…; 每年春节 acts as one combined time phrase (“every Spring Festival”).

回 means “to return (to a place you came from / consider home)”.
去 just means “to go (to some place)”.

• 回老家: go back to your hometown / family home; there’s a sense of returning.
• 去老家: go to your hometown; grammatically OK, but it doesn’t highlight the “returning home” feeling.

Because you usually think of your 老家 as a place you “go back to”, 回老家 is the natural choice here.

老家 usually means:

• your hometown or family’s original home, often where your parents or ancestors are from;
• it can also mean the place where your parents currently live, especially if you grew up there.

It is not always strictly “parents’ house” in the physical sense; it’s more about your origin / family roots than just “the place my parents happen to live right now”.

Reduplication of verbs (like 看看) often softens the tone or suggests a short, casual action.

• 看爷爷奶奶: “see/visit my grandparents” — neutral.
• 看看爷爷奶奶: “go and see my grandparents for a bit / pay them a visit” — sounds warmer, more casual, less heavy.

In this context, 看看 is very natural and friendly: it suggests dropping by to visit, not some formal or serious “inspection”.

Chinese doesn’t mark tense the way English does. Here, 每年 (every year) indicates a habitual action, so no 了 is needed.

• 每年春节我都回老家看看爷爷奶奶。
  → Describes a regular pattern: “I do this every year.”

If you wanted to talk about one specific year in the past, you might use 了:

• 去年春节我回老家看了爷爷奶奶。
  → “Last Spring Festival I went back to my hometown and visited my grandparents.”

You can say 每年在春节, but it’s less common and can sound a bit heavier or more formal.

Natural options:

• 每年春节我都回老家…… (most common, smooth)
• 我每年春节都回老家……

Using 在 often feels more like “at the time of / during”, and is more typical with some other kinds of time expressions, e.g.:

• 在周末 / 在假期 — “on weekends / during holidays”.

With 春节, native speakers very often just say 春节 or 每年春节 without 在.

In this context, 爷爷奶奶 already implies “my grandfather and grandmother” and is totally natural.

• 看看爷爷奶奶 ≈ “go visit my grandparents.”

You would only add 我的 for clarity or emphasis, for example if the context might be ambiguous, or if you’re comparing:

• 去看看我的爷爷奶奶，不是你家的。
  → “Go visit my grandparents, not yours.”

Yes, 见见爷爷奶奶 is grammatically fine and also natural.

• 看(看)爷爷奶奶 focuses slightly more on “visit / see (spend time with)”.
• 见(见)爷爷奶奶 focuses slightly more on the act of meeting/seeing them.

In many everyday contexts, 看(看) and 见(见) with people overlap a lot. For family visits like this, 看(看) is very common and sounds warm and homely.

All of these are natural and mean essentially the same thing:

1. 每年春节我都回老家看看爷爷奶奶。
2. 我每年春节都回老家看看爷爷奶奶。
3. 春节的时候，我每年都回老家看看爷爷奶奶。
4. 我每年春节都会回老家看看爷爷奶奶。 (adds 会 = “will”, slightly more forward-looking / habitual)

Key patterns:

• Time expressions usually come before the verb phrase.
• 都 typically comes after the subject and before the main verb (回).
• Extra elements (like 的时候) can be added for style but aren’t required.