I think あるある in this context refers to little problems or incidents that everyone comes across in daily life. The expression is often used this way in conversation as a sympathetic expression.

Ex.
「パンケーキ作るときに、手が滑って卵を床に落としてしまった」
「あるある」
"When I was making pancakes, my hand slipped and I dropped an egg on the floor."
"It happens to the best of us."

モヤモヤ can refer to an uneasy feeling, annoyance, pent up frustrations, etc. Context is important here.

I don't know the exact context of your sentence (the fact that あるある and モヤモヤ are preceded by その implies that the text has discussed them before), but it seems to be an instruction or encouragement to talk to your friends about the things that bother you in everyday life.

One tentative translation would be:
"Try talking to your friends about your everyday problems and worries"

I hope this made sense.