Well you can really go to town if you want to... antistatic work mat, antistatic wrist band, antistatic floor covering, antistatic boots, etc.
Really though, if you know a little about static electricity and you develop a safe working practice, you don't need any of that stuff. I have been working with static sensitive components for years, never used any antistatic equipment, and never had a failure caused by static discharge.
The human body behaves like a capacitor (about 100pF actually) that can store a charge. The voltage on this body capacitance can be thousands of volts. When you touch anything that is electrically connected to ground the charge on your body discharges, and your voltage drops to around zero, relative to ground. The discharge is very short but the current flowing can reach many amps. If that current flows through a semiconductor junction it can easily destroy it.
The trick, then, is to be aware that you may be carrying a charge, and to make sure you don't discharge it through a semiconductor device - that means IC pins, card edge connectors, printed circuit tracks or connector pins.
Let's say you want to fit a card in a PC slot. The PC is open on the bench and the card is lying next to it (it should be in its antistatic bag but someone has been careless and left it out). You walk over to the bench and you put your hand on the metal case of the PC. Now the PC and you are at the same voltage. Then you also touch the metal plate of the card. Now the card is also at the same voltage. If everything is at the same voltage there is no danger of a static discharge; you can safely insert the card.
Sounds complicated but after a while you don't think about it - you just do it.
Another habit I have which I do without thinking about it is that before I start working, especially after taking off a coat or jumper, I touch one of the metal screw on the light switch. Those are connected to ground so I then know that I'm not walking around with a few thousand volts on me!