I bought the RCBS Rockchucker kit and love it. Most of the basics are there. I would recommend it for you in this situation because you mention 5 different cartridges, sounds like you will be doing a fair amount of reloading. The lee is okay and services many guys well, but the RCBS will stand up to more.
When I bought, I asked myself a few questions, "How long do I plan on reloading for?" "Will this kit make it that long" "what is service like from the different companies", because I only want to purchase this stuff once.
I have never had to make use of RCBS service, but I have heard lots of guys on this site mention how good RCBS has been for any repair or replacement part, not matter how small or insignificant. Not saying that Lee will not provide the same, but I have not heard it as much.