In general, you want studio headphones with flat response.
Consumer headphones (such as Beats) shape the EQ to make it sound "good". For recording and mixing, you don't want good, you want honest. Thus, flat response.
Wireless headphones tend to introduce RF interference, static, and sound coloration. That is why professional studio monitors are generally wired. If you are professional, or aim to be professional, consider sticking with wired headphones. If the cable annoys you, you can move your interface or headphone amp to a position where the cable won't get in your way. You can also get a headphone extension cable — but make sure you get the right size jack for your headphones (usually ¼").
As for recommendations, it depends on what you're doing. I have not used any wireless headphones, so can't speak to that, but here are some wired options to point you in the right direction:
- For general music mixing, the BeyerDynamic 770's are excellent.
- Sony MDR 7506 are also great; and they tend to be the standard for TV, Film, and field recordings.
- Audio Technica K240's are industry standard for singers or acoustic instrument players, as they are open back. Open back headphones give the singer or player a blend of their instrument acoustically along with the monitor mix.
- If you are a drummer, or if you record live in the same room as the band, get Sennheiser HD280's or similar brain squeezers.