Assuming I already have a job in my home country and I work at home. It pays great and I save some money. Also I am aware I can afford to live in US so can I move to US? Would I be able to open my bank account there to ask my employer to send money to US instead of my home country. Would I need to pay taxes? What visa I would need there?
Since we're not allowed to answer immigration questions, I'll keep it short with two things.
Any stay longer then 90 days requires a visa for immigration and anyone that stays 181 days or longer or there income is paid to a US company is required to pay taxes. However, if you did immigrate to the US and spent more then 181 days away from your home country, you would likely be exempt from paying taxes where you left.