The more organic your garden is the better it is in the long run. In short term it does not matter whether you use chemical fertilizers or organic fertilizers.
For the plant mineral matters, it is not concerned with whether the minerals came from a chemical fertilizer or an organic fertilizer. With chemical fertilizers you can be sure of the mineral you are enhancing in your soil, that's helpful.
The thumb rule to follow would be to prepare the soil with as much organic compost as possible. Once the soil is make fertile through the use of compost you can add chemical fertilizers in limited quality to enhance the mineral ratio in the soil.
Working with fertilizers is a trial and error thing at times. If you see a certain plant growing deficiently it would benefit from the use of chemical fertilizers which provide instant potassium and phosphorous.
Of course fertilizers take at least a couple of weeks to show result so don't expect you plant to start blooming the very next day.
The differences between chemical and organic fertilizers are listed below
Chemical fertilizers are release their nutrients fast, this can lead to plant damage if used in excess quantities. Plants have been known to go into shock when fed too much fertilizer in one shot.
Remember these pointers while using chemical fertilizers
Compost is not just a fertilizer though that is its primary function.
The main advantage of compost is that it is organically rich. Several soil organisms thrive on these nutrients. There organisms in turn aid plant growth by releasing necessary nutrients. It makes your soil more living.
There is nothing wrong with digging in a lot of compost. More is less as far as compost is concerned.
Dig in as much as in you want into the soil. If you have clay soil, compost is a savior. Compost has a tendency to lighten the clay soil and make it more porous. Sandy soil can also benefit from compost in that it adds the necessary elements.
There are few guidelines to using compost as mentioned below
Preparing a compost can take a few months so get started early. It is a good idea to use a large bin to prepare the compost. Stir the compost once every two weeks to hasten the decomposition process. The compost should be dark brown in color and should have a earthy smell, which indicates that it is ready to use.
Favored material to use for making a compost are as below
Keep away from using plants which are decayed or diseased for compost. Avoid weeds which have gone to seed. Also plants which have been treated with herbicides should be avoided. Rotten meat should be avoided at all costs, the are not only harmful but attracts rodents like rats.