The terms seem interchangeable, nowadays at least.
I see communal morality as compliance & protocol for interpersonal cooperation, that can be driven by empathy or practicality. It keeps a community functional, whether it be a country, state, city, workplace, household, or classroom etc. However since there is a tendency of power structures to abuse the idea of communal ethics, I think the rules deserve to be occasionally questioned and updated; there is no need to have certain expectations and limits when the society has changed and progressed, especially if they only benefit leaders of society(e.g. the "War on Drugs").
Then there are principles, reactive feelings, and perspectives which serve a personal sense of right and wrong and everything in between. These are molded from upbringing, personal experiences, and the nature of humanity; they provide personal guidance. As long as personal morality does not infringe on others, it isn't much of a concern to others, but because it deals with something very internal to humanity, philosophical inquiry could be enlightening.
I pay attention to communal morality; unless one lives in the wilderness or something, there are always going to be other people that you have to deal with. I'm not saying I'm for adapting your personality and changing beliefs etc to fit in, that's too extreme and defeats the purpose. I just think it's naive and reckless to not mind others.
I do have a personal sense of morality and I respect others' as long as their own is reasonable. It's not something I define and stick hard to, though, it's more situational and flexible except for some core principles / strong values.