The phrase "bursting out all over" is an idiom often used to describe a sudden and intense occurrence of something. However, if you're looking for alternatives to this phrase, you could try using "sprouting up," "popping up," "emerging," or "spreading rapidly." Other synonyms could include "exploding," "erupting," "blooming," "flourishing," or "proliferating." Whether you're talking about spring flowers, love, or the arrival of new opportunities, there are plenty of ways to express the idea of things suddenly and abundantly appearing. Experiment with different phrases to add variety and interest to your writing.