If you don't wear glasses, I would also recommend safety glasses... Hot solder and eyes are not a helpful mix and it is all too easy to flick bits.
Most soldering iron burns are fairly mild as long as your reflexes are reasonable (either that or my skin has become slightly ceramic).
Overall, you shouldn't need a lot of kit.
Soldering Iron with a fine tip
Pin Nose Pilers
A wire solder iron cleaner is very useful:
A well lit and ventilated area is ideal, with a surface which isn't going to burn.
Stripboard is great for most small projects, I tend to use lots of pin connectors so that I can wire up different modules and single core wire to plug them together. I've also used proto-type board (single solder pads not joined together) but not a massive fan (the wiring ends up far messier) but in some cases it is less complicated.
Wonder if a MagPi article would be helpful, I almost wrote one on this for Issue 3 or 4.
Although an oscilloscope is useful, they are very expensive (unless you can borrow one), but putting good debugging and testing things as you go, you can avoid the need for one in most cases.
Of course, now I looked to see what options are out there and this is tempting!
http://www.gabotronics.com/development- ... otolab.htm
May look into the various options, since something basic may help for some things.