Well...
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Fertilizing can be as complicated or as simple as you want. The truth is, that yes, different plants do need different fertilizers. Or rather, they need different nutrition. Some plants love composted cow dung, for some it is too rich and they prefer something lighter like nettle water. Some plants need extra nutrition that they don't really get from the fertilizer, such as bone meal (roses tend to love this) while yet others really just want to be left alone to their own devices.
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So, it is really experimenting and reading up on the different plants you have planned to grow. For example, black currants just want grass clippings while raspberries love composted cow dung, the more the better. There just is no standard.
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On top of that, different plants remove different nutritions from the earth. Since you are doing container planting, this might not be something you really have to think too much about, because I guess you will be exchanging all the earth every now and again.
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As a general rule, though, we find hen fertilizer works wonderfully as an all round to keep things reasonably happy. We do dissolve it into watering cans, for ease of dispensing when we use it for container gardening. Just be aware it is a very smelly solution, and therefore something non-organic might be preferred.