I get hung up when I use a series of phrases amid a sentence and then carry on with the sentence afterwards. Basically, I'm not sure if I CAN carry on with the sentence.
To illustrate: "Napoles was the Floyd Mayweather of his era, a boxing great, a welterweight sensation, a 'trade' sensation, who lived in Mexico City...

Is it right to carry on with "who lived in Mexico City..."?

You have a choice of whether to use commas, brackets or dashes (also called enrule).

You should use which makes your sentence easiest to read. It is covered in the following GM lessons:

parenthesis

and < a href="http://www.grammar-monster.com/lessons/extend_a_sentence_lessons.htm">extending a sentence

Fixed link:

extending a sentence