USA citizen or PR.. Do i need to pay any taxes on my unemployed Income? And how much I can get if I have...?

If I have 2 kids with me.
How much unemployed Income I can Get from Government of USA.

It's from your state, not the federal govt. Unemployment insurance benefits are taxable income. In the US, all income from any source anywhere in the world is taxable. If you are a US citizen, Legal Permanent Resident, or even if you are temporarily living and/or working in the US (e.g. on an H1-b visa), worldwide income is taxable in the US.

If you are eligible for unemployment insurance in your state, you can have taxes withheld and your benefit check that you receive will be reduced by the amount of withholding taxes, both federal and state.

You must have lost your job through no fault of your own. You must have earned enough money and worked enough hours to have enough credits before you can get anything. If you are laid off during Oct, Nov, or Dec (4th quarter), then your benefits are usually calculated on what you earned from Oct 1, 2008 through Sept 30, 2009. Generally speaking, UI comes to about 1/2, maybe up to about 2/3, of your prior take-home pay, up to a maximum of somewhere around $500-600 per week. It varies by state. But if you took home, say, $800/week, you'll get around $400/week from UI for up to 26 weeks. You must be able to work, available for work, actively seeking work, and you cannot turn down any job offered.

If you were an independent contractor instead of an employee, or if you are on any sort of employment visa/work permit, you are not eligible for UI. Those on employment visas have their visas automatically revoked as of last day of work and must leave the US immediately with all dependents.

Unemployment benefits are based upon your wages in the base period. Your base period is the one-year period that ended with the first or second fiscal quarter prior to the date that you apply for benefits. Figure roughly 1/2 of the average weekly wage of the quarter in your base period that had the highest income. As a general rule you must have had at least 6 months of full-time employment in the year prior to applying for benefits.

You can review the procedures for your state's unemployment system on your state unemployment department's website. Google your state's name and "unemployment" to locate your state's site.