Sennheiser is a good choice for someone just getting into higher quality gear. They have a wider range than most, but even their lower end are very good.

I have a pair of relatively cheap yamaha studio monitor headphones that are actually pretty great! ($80) Most headphones will also sound much better when driven properly with an external DAC, especially the higher end ones.

I plan on going to the $200 range next as I'm not too satisfied with the bass of these things, It's definitely there, but it doesn't go too loud before it gets distorted on the lower ranges,

that's a deep rabbithole that you may not want to look into, if you value your wallet. Keep the Bose if you're happy with them

Beyerdynamic for me.