The following basic tools are recommended for constructing most electronic kits:

Small flat-bladed screwdriver		A 3mm flat bladed screwdriver will be fine for most small-scale work.
Small cross-head screwdriver		A Number 0 Phillips screwdriver is recommended. Note that Phillips and Pozidrive are different and you should use the relevant screwdriver for each screw type.
Small side-cutters		You can get side cutters with either a flat cut or a recessed cut as shown here.
Small snipe-nose pliers
Small pilers with serrated teeth grips
Temperature-controlled soldering iron		The iron should be, typically, between10 and 30 watts. There are a wide variety of tip shapes but a small chisel style (around 1.2mm tip) should suit most applications.
Solder sucker		Hopefully you don’t need to rework a board but if you do then a solder sucker is useful for clearing out pad holes after removal of a component. Solder wick is also a lower-cost option.

In addition, for testing and calibration you will need one or more of these items:

1. Multimeter: should be capable of reading voltage, current (typically no more than 500mA) and resistance. A continuity or diode test function is also useful
2. Oscilloscope: a general-purpose model is fine for most work required here
3. Frequency-counter: for most work here the oscilloscope in (2) is usually adequate for measuring frequencies
4. Crimp Tool: some projects use MTA terminals for external wiring. Crimping for these connectors should, ideally, be made using a proper crimp tool