Economically, there are a lot of costs that are taken out of the system if we implement basic income, everything from means-tested support (the means testing is very expensive and prone to fraud, etc), to crime that you mention, to the terrible and yet unmeasured opportunity cost of still having the majority of the population working in jobs they hate but need to survive. Imagine a world where everyone is working on something they've chosen to do, which they can feel passionate about (and yes, I do believe people can feel passionate about any job that has a useful purpose, including picking up trash, cleaning the streets, and all those other currently low-status jobs).
The moral side is equally important, though. We live in a society where we don't need everyone to work, not even close. A great many people today work in jobs whose only purpose is to exist as jobs, which don't actually have a net benefit to society other than keeping people out of unemployment. Many others are unable to contribute to society because their skills are not in demand, thanks to automation, outsourcing, etc. Those people are currently made to feel morally guilty for not working, their self-worth as human beings is attacked, debased. This is fundamentally wrong, and is the major challenge of our generation: transforming from a society that liberally distributes shame to people who are not in a position to work for money, to a society that accepts that paid work is just one of the activities a human being might partake in in their life, and neither necessary nor the highest.
If we fail at this challenge, the cost will be unrest, perhaps revolution, probably a regression in the progress of mankind.
We have a tough few decades ahead.