I need to solder ESD-sensitive components. Can I get rid of my ESD wrist strap if my tweezers are anti-static?
"Anti-static" tweezers serve a different purpose than a wrist strap. A wrist strap keeps your BODY from building up a charge which can damage a component.
Antistatic tweezers provide a "controlled" way of equalizing the charge between your hand and the component. So that it doesn't "zap" the component.
If you disconnect the wrist strap, it allows your body to build up a charge. And that almost makes the tweezers (of whatever kind) even MORE potentially dangerous.
The ESD wrist strap grounds you, unless the ESD tweezers have a cable going to ground as well, they're not going to offer the same kind of protection
While it is better than nothing, it still doesn't provide equal potential, so there is still a chance of accidentally breaking components.
If you find wrist straps annoying, there are ESD chairs as an alternative.