Where are you going to get the money? Let's say you make it $10,000 a year. I don't know how you can live on much less. For a population of 300 million, that's $3 trillion a year. And that's new spending (I presume you wouldn't be heartless enough to reduce social security checks either).
There will be no need for unemployment benefits if there is a basic wage given to all as they can live on the basic wage. Then currently there are the subsidies given to the parents of children. And money to private schools. They can go. Nor would there be any need for people to administer those abolished benefits. So your figures are an overestimate.
Indeed - the whole point about Universal Basic Income is that it replaces all other forms of welfare with a guaranteed and unconditional minimum income.
As a fiscal conservative it should be an easy sell: less overhead, less whining, more direct impact on the economy. Combined with a universal basic health care, it could reduce needless spending tremendously.
So, current welfare recipients and unemployment recipients just start getting a monthly check. Same for everyone, no need for means testing or location adjustments. If you live in NYC and can't get by on the same as someone living in Detroit, then move your ass to Detroit. It's about an 18 hour train ride and the tickets appear to be available for around $100. But you want to stay in NYC, because that is where all your friends and family are? Great, get a job.
For people like you and me, who pay more in taxes than the government would ever pay as a UBI, we will get the UBI, but our taxes go up by the same amount. so, about 40% of the people getting the UBI will just be paying it back in taxes. Sound inefficient? Compare it to the number of people working for the government right now trying to keep track of all our damn social welfare programs.
In the middle there will be people who get the UBI and pay a bit more in taxes. Currently they have to juggle the pros and cons of getting a job: what benefits do I loose by being a Walmart greeter. With UBI you would remove the perverse incentives not to work that are inherent in the current system. The added income may be taxed, but there would be no decrease in the UBI. So, using your number of $10,000, an unemployed person is far better off getting a job that pays another $20,000 per year even if they have to pay as much as $2,000 in income taxes. They don't lose their UBI just because they get a raise at work or work a few more hours during the holiday rush.