I'll be around - I will be in this area or similar areas in the future - so we will likely see each other again in the future. The meaning of "to be around" is like "to be available", "to be present". Example: If I say "my father was not around much when I was a child", it means often my father was not at home, and I did not see him often.

Hi Msyuyu. He means that in the future he'll be in the place that you met him. 他的意思是“我常常在这里，所以你会来这里就能碰到我”

be around = be here or near here Is the boss around? No, he didn't come in today.

means that he will be close (in the same place or city)