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Not all guano is created equal. There are differences in bat poo and the NPK percentages, depending on the source. Some is high in N (9 or 10%) and some is higher in P with a lower N level like the one you are familiar with.

Products will often be described as 'high nitrogen guano' or 'high phosphorus guano'. I make my own complete organic fertilizer and seek out high N quano for the fast release N component, along with feather meal for the slow release N.

You should not have to feed it often. Once a year with an all purpose slow release will be good. This article will give you more information on the care of this: https://www.gardeningknowhow.com/ornamental/trees/chinese-perfume-tree/growing-chinese-perfume-trees.htm

I would wait until you see some significant growth before you start to fertilize, or it could burn the plant and new shoots trying to form. I really depends on the plant in question, though. If it had been fertilized recently, there may not be a need.

Can you give me a little more information about the plant in question?

I'm not familiar with potato manure. The differences in fertilizer are usually the ratio of N-P-K (Nitrogen, Phosphorus, and Potassium). If you are looking to fertilize your lawn, then a lawn fertilizer will be tailored to that purpose.

There are many organic lawn fertilizers that can be found with a google search. Most of these will pose no real danger to animals except for a possible upset stomach. We really don't recommend any brands in particular, but there are many available.

Check with your local garden centers; they can order in what you need and likely would be less expensive then direct shipping from suppliers.