Ok, so to drill a nice centre hole, I realise I need some centre drills - but what size set do I need (I how many bits). It's just to start off a pilot hole, so what with all these sets with a gazillion sizes?

There seems to be a few 5 piece sets...with various permutations of sizes (eg 1mm-3.2mm, or 1mm - 4mm). Can anyone recommend me a good starter centre drill set? (ie what siizes should be in there)

Also, I've noticed that standard drills 'wobble' when drilling holes from the tailstock - so does a center drill solve all the potential problems associated with this wobble (ie can I assume that since the pilot hole is bang on the money that a longer drill will proceed through the material more or less on target) Why don't they make stubbier drills to try & eradicate some of the wobble seen with standard drills?