You will find Here a List of Common Tools Used For Electronics DIY.
You don't absolutely need to have all of these things, but it sure helps!

Using a tool for purposes other than those for which it was designed can be just a little more difficult, or downright dangerous. Please be safe :)

1. Workbench - Protect your house, have a proper work area
2. Storage Unit - Put your tools and components somewhere safe
3. Small Plastic Cups - Somewhere to put things temporarily. Don't leave your kit lying around.

1. Safety Glasses - Protect your sense of sight
2. Face mask - Protect your lungs
3. Fire Extinguisher - Don't let your soldering iron start a fire you can't put out
4. Fire Blanket - As above
5. Soldering Smoke Absorber/Ventilator - MMmmm, Lead smoke. Mmmmm, Cancer. Mmmm, Insanity. Mmm…. I think not.

1. Multimeter - For testing circuitry Voltages, Resistors and Transistors
2. Oscilloscope - For testing signals. Dual trace is better , allow signals comparison
3. Power Supply - Regulated lab power supply . Help in getting the right Voltages inputs

1. Soldering Iron or Station with Stand- Temperature controlled
2. Solder - Good quality solder for good quality joints, 63/37 Eutectic
3. Desoldering Pump - - For removing soldered chips

• Soldering Iron Tip Cleaner - Take care of your tools
• Tinning Block - for taking care of soldering iron tips
• PCB Holders - Make soldering easier and cleaner

• Cutters - For trimming componenet leads
• Screwdriver Set - Various sizes
• IC Puller / Placer
• Wire Strippers - For stripping insulation from cabling
• Pliers Set - Various Sizes and types
• Claw - One of those little pens with a three-fingered claw for grabbing loose bits from where fingers can't reach
• IDC Crimping Tool - Because doing it with pliers sucks
• Electrical Tape

• Mirror - Little mirror on a telescopic shaft for peeking where your eyes can't reach
• Compressed Air Can - For cleaning stuff by blasting off dust