If you've got the space then make a wood pile and composting corner. You'll find it's easier than trying to get it into a bin. You don't need to burn unless it's diseased. Or you really haven't got the space. You'll get loads of wild life in wood piles etc.
You can raise a garden to the ground in a day, but it can take years to grow plants to maturity.
If you've cleared a badly overgrown garden it's probable that you have far more than can effectively go onto a compost heap and much of it will have to be burned or disposed of in some other manner.
For a large garden it will probably be worth investing in a shredder as this will reduce what looks like a totally unmanageable pile into stuff which can either be used in a compost heap or spread over the borders as a mulch. You will still probably have a lot which is too big to shred and this is the stuff to burn or take to your local tip.
Roughly what size is the garden?
Just because a garden is large doesn't mean there is space to leave mountains of branches etc when the whole area was overgrown. My own garden was in a state a couple of years ago and I got people in to clear it. Some of the shrubs were over 10' high. If I'd left everything to break down to compost naturally, the garden would still be a mess, just with piles of cut back overgrowth rather than growing overgrowth!