Hi Baha,
Nice to meet you! I'm Randy, an Independent Advisor.
You can try this steps, On your new computer, install Outlook, then add your Gmail account through File > Add Account (your Gmail .OST file will rebuild automatically). Next, copy your old .PST files (POP and archive) from the old computer usually in Documents > Outlook Files to the same folder on the new computer. In Outlook, go to File > Open & Export > Open Outlook Data File and select each .PST to make them appear in your folder list. You can keep them separate for reference or drag emails/folders into your Gmail account so they sync online.
Kind regards,