What are the best noise blocking headphones or earbuds or... anything else?

My upstairs neighbors have 4 children who run, jump, and are, basically, driving me stark raving insane. As an indication, their jumping has knocked pictures off of our walls and rattles the windows, sending vibrations through our furniture, constantly.

Yes, I am currently trying to work this out through my landlord, no, the mother of these children could not care less and has told me to deal with it… they are kids. Regardless of the outcome, it is going to take time. Yes, I can turn my music up to drown them out but I do not like music that loud.

So, I need to find something before I go absolutely insane and possibly to jail. Ok, slight, but only slight, overstatement on the jail part.

What is the absolute best (within reasonable prices, if possible) method for dealing with this? I have read up on noise canceling headphones and it says that is for steady noise. I am reading up on noise blocking earbuds and have no clue what is good. I am currently sitting here with high end foam earplugs in but I can still hear a good chunk of the noise.