As recommended, I purchased a Beyerdynamic DT770 Pro 80 Ω. As it turns out, the isolation it offers is insufficient. Thus, I must turn to noise cancelling headphones, yes? Or ear plugs,  even?   What are your suggestions?

Beyerdynamic DT770 Pro   Hello. I live in a box where I sleep and play video games. Knowing **** all about audio, I come to you, head-fi.org, in search of silence. In fact, I know so little about audio, that I cannot provide a nonarbitrary budget.   Tell me: What does silence and above...