I tried those wireless headsets. Trust me you'll only get frustrated with it.
I also have that TDK headphones you mentioned, but I would recommend Philips headphones. Ung SHP1900 or SHP2000. They cost around P600 to P900 at astrovision. They are good enough reference headphone for the budget.
The idea here is to hear what you are recording - so do not get those headphones/monitors with effects or noise cancellers, or whatever. You might end up getting a mix that sounds great only when using your monitors, and would sound crappy on someone else speakers. This is the concept of mastering. To make your music play good on all players. A sub/boombox would be good to monitor the rumbles and all low frequency, but dont bank on it much in your mix or else your music will sound muddy on a regular player.
I remember in the 90s, I used an old Sony Cassette player with line in as my monitor speaker. Since I was mixing analog into a cassette tape, this was the best option so I can hear what other players will be hearing. Assuming today most people are playing their music on mp3 players or CD players or car stereos, then you should try hearing your mix on them.
