We make our own compost out of fruit and veggie scraps, leaves, and other yard waste and that is what we use to fertilize everything in our yard - our vegetable garden, flowers, and bushes. It has worked very well.
We have a compost bin that gets topped up frequently with rubbish from our kitchen.... and dug out every now and again and spread over all the flowerbeds. We also put specific grass fertilizer on the lawn.
I put shredded sugar cane mulch out for my chooks in their house and pen. They turn it and add manure to it, it breaks down into a beautiful compost with no effort from me. I put that on my garden. I also use seasol, wich is not a fertiliser but Is very good for boosting health of plants. I also regularly use a good organic fertiliser over everything. I don't grow vegetables through the hot part of the year, but I usually put some in
in March. It is April and I am just getting the soil ready. I garden with the thought of feeding the soil, not the plants. My soil has gone from very shallow topsoil above heavy clay to deep friable soil with many years effort. Nearly good enough to eat.