When I first started I got given a brewiser kit with everything I needed from hydrometer to capper and everything in between.
First brew I made I put into the plastic PET bottles as suggested before, but used the coopers carb drops and found they were great. Have never has a bottle explode or split yet. Just 1 drop per stubbie, or 2 drops per longneck leaves you with a great result every time. No measureing and no fuss or wastage.
As for cappers, I just use a black hand held one with pull down handles, and again never had a problem with them not sealing, but I have found that if you use twist top bottles, some have a tendancey to "sheer" a small frag of glass from the twist part, so I went on to use 330ml european style bottles and have not had a problem since. Means you need to drink something like Hieniken or Amsterdam Mariner though.
Just make sure that when you brew in winter, you store the full bottles in a warm place to condition. Otherwise I have found that with the carb drops the dont carbonate very well and leave you with a flat, listless beer. 10 days or so at inside room temp should do the trick.
Bottle bombs... The only time I have ever seen this happen is when my dad was brewing when I was a kid. He stored them in a cupboard to condition and they kept exploding. Worked out that they were next to the oven that mum had on 180c to cook dinner. He moved them and the problem was solved.
Hope you enjoy the hobby and have many years of drinking great beers you make yourself. :chug: