We have a large native hedge at the front of our house that twice yearly I have trim. For this woody type of pruning I have an electric chipper. This chipper is a bit different as it doesn't have a fast moving blade but a slow moving gear type cog that drags in the prunings and crushes them against a plate. It very effective and can handle large branches not mention it's a lot quieter than the chopping type.
I can get a bit slack with mulching the garden one reason is I don't really like importing material from elsewhere to do it as it doesn't seem particularly sustainable. This year I have been mowing the block next door and piling all the clippings up. I left that for a few months making sure the heap had a concave dip in the top so water would penetrate rather than just run off. after turning it a couple of times over the last couple of months I put it around the vegies. It was full of worms so the resident Peewee got a feed at the same time.
Considering it is winter we actually have fair bit in the garden. Leeks, potatoes (as I mentioned before), sweet potatoes, spinach, fennel, still getting cherry tomatoes and our first lemons a ready ( we have already started using the limes )