> British people call the main bag you put rubbish into in the kitchen?

For me, once it's in use, it'd just be "the bin" but I guess the specific name for the bag itself would be "bin bag" or "bin liner".

> And what is the equivalent of a garbage truck? A rubbish lorry?

I've seen both but people would also just refer to "the bin men" (as in "the bin men come on Thursday")