My thoughts/understanding, without Google searching/copy pasting, is that communism is supposed to focus more on the structure of a community and specific ways to allocate duties and rewards to generally better the lives of a subset group of people (Community). Personal wealth and standing coincide with your communal position, while ensuring that the least standing members still have a good minimal quality of life.

Socialism is similar, but focuses more on everyone as a whole. Everything is meant to be setup and geared towards the betterment and equality of all, but in a less structured way. All things are done for the betterment of self and society. Rewards and standing depend on merit and deeds equally. Tangible reward is shared as equally as possible.

I’m not sure if I am conveying my thoughts right here. Is way harder to write out than I expected when I started.

In my mind, communism would be more hierarchical in tangible reward, socialism would be hierarchical in subjective reward. (Think Star Trek).

I am probably way off, so if you want the text book definitions and differences, I’d suggest an online search for such.