Heading to home

don't use 'to' because it's a bit unnecessary. the 'to' preposition is commonly used for places (or nouns), but this is an exception.

When I finish work, I usualroutinely go home by car.

I noticed that you used a lot of 'usually' and it was a little redundant, so I replaced some. the word 'routinely' describes something that you do as part of your routine, and if driving home isn't part of it, then feel free to change it with another synonym!

During this period, there is always heavy trafficIt is always rush hour during this period, and I am usually get stuck in a traffic jam.

all of the word 'traffic' is a little redundant, so I replaced it with another synonym.

While I am in a traffic jam, I start to practicinge my speaking by chatting with ChatGPT.

you do not need to specify that you are in a traffic jam; it was already mentioned in the last sentence. as for the 'start practicing' part, I noticed that you put a lot of gerunds, and I don't know if my correction is right, but I think that it would sound clearer if it was 'start to practice' instead.

It usually takes me almost an hour to talk withspend about an hour using it.

readers may get the wrong message (i.e. you had to wait about an hour just to talk with it) so here, it's important to convey the message clearly.

It is more enjoyable to spend thate time with a chatgpt company instead of furstaing my self on myin traffic with ChatGPT instead of getting frustrated in traffic.

there's a few spelling errors here and there, but that's okay! for the ChatGPT part, you're spending time with the bot, and not the company, and you might need to be a bit clearer in where you're spending your time. readers might think that you just want to spend time with ChatGPT, outside of actual traffic. you also don't need to specify that it is 'your' traffic, since it is already implied in the last few sentences that you're the one experiencing that event.

Heading to hHome

While I am in a traffic jam, I start practicing my speaking by chatting with ChatGPT.

It usually takes mespend almost an hour to talk withing to it.

It is more enjoyable to spend that time with a chatgpt companyChatGPT instead of furstarustrating my self on mywith traffic.

Heading to home

"Home" is always in adverb when used as a position, so "to" is not correct.

When I finish work, I usually godrive home by carafter finishing work.

Your sentence is grammatically correct; however, "drive" is much more common than "go ... by car". I also don't like the ordering of the clauses - personally, I prefer avoiding commas where possible for clarity. Perhaps even more natural would be "I tend to drive home after finishing work".

During this period, tThere is always heavy traffic, and I am usually during this period, and I often get stuck in a traffic jam.

Again, I prefer to avoid the extra comma, so have switched the first two clauses - but this is purely stylistic. "Stuck in traffic" is more natural than "stuck in a traffic jam". Use of the verb "to be" is strictly reserved for something that is currently happening; here, you are describing a change of state (from not being stuck in traffic to being stuck in traffic) so the correct verb is become ("I often become stuck in traffic"). However, this is excessively formal, and we would normally use the verb "to get" instead.

While I am in a traffic jam, I startI use this opportunity to practicing mye speaking by chatting with ChatGPT.

This is all technically OK, but reads pretty strangely.
Try to avoid repetition as much as possible. "I use this opportunity to" is a good way to avoid it; finding a direct replacement for "a traffic jam" is hard, as it is a moving object, so using a preposition of place (i.e. "Whilst here, ...") doesn't really work.
"I start practicing" implies a very specific meaning: that you begin speaking whilst stuck in traffic, and that you continue after leaving the jam. Even if this is the case, it's not to emphasize here, and just using "I practice" is much more normal. You don't need "my" before speaking, though it's not actually wrong.

It usually takes me almost an hour to talk with itlk to it for around an hour.

"Takes me" + time implies that there is a specific goal to the activity that takes so long to achieve. For instance, you could say "it takes me an hour to talk to my boss" to refer to a formal conversation in which set things have to be said. It doesn't make sense in this context - just chatting generally has no fixed end. You could say "almost an hour", though it's not very common. In US English, I believe that "talk with" is used for a two-sided conversation, whereas "talk to" is more one-way; being British, I would use "talk to" in both cases.

It is more enjoyble spen that time with a chatgpt company instead of furstaing my self on myThis helps to distract me from the traffic.

Not sure what happened with this sentence - it's full of typos and poor grammar.
A word-for-word grammatical correction of what you wrote would read
"It is more enjoyable spending time with a ChatGPT agent than being frustrated with the traffic."
However, this is very unnatural. You're trying to communicate that talking to ChatGPT takes your mind off the traffic; here are a few ways to say this:
1. "This helps to distract me from the traffic" (as above): the most simple, direct option.
2. "This helps take my mind off the traffic": again, nice and simple, though using a more interesting verb phrase.
3. "This helps prevent me from becoming frustrated with the traffic": closer to your original sentence, though rather cumbersome.
4. "This provides a welcome distraction from the traffic": a much more sophisticated structure; probably what I would use if I was trying to write impressively.

Heading to hHome

"Home" is an exception for this expression where you don't say "to"

During this periodtime, there is always heavy traffic, and I am usually stuck in a traffic jam.

Because this is related to the time of day, better to say "time"

While I am in a traffic jam, I start practicinge my speaking by chatting with ChatGPT.

"I practice" because we are speaking about a recurring action / habit

It usually takes me almost an hour to talk with spend about an hour talking to it.

"It takes me about" would work for talking about your commute, but for the subject of speaking, this phrasing sounds strange

It is more enjoyable to spend that time with a chatgpt company instead of furstaing my self on myChatGPT than to become frustrated with traffic.

More natural