I've never personally found a need for an anti-static bracelet. You just need to remember to touch a bare metal portion of your case before touching any boards or components. Touching bare metal in the case will ground you without the need for anti-static bracelets. Then you just need to handle everything in a way that doesn't come in direct contact with anything that carries current: circuit traces, transistors, capacitors, etc. Always handle boards by the edges and don't touch the connector portions of boards.
Another good thing to do is to always turn off the power supply physically at the switch on the back of it and wait about a minute to let any residual energy drain before you even think about touching anything inside the case.