Modulator & Antenna

[Arcanine]

So I was curious. I decided to unhook my Blonder-Tongue from my outdoor antenna and just connect it to a pair of rabbit ears inside the house, that way I can limit it's range to just my house. I cut the transmitters power in half and I still get an amazing picture and good distance from it.

The rabbit ears I use are just a very cheap pair of Radio Shack things.

I took the bottom off, and discovered a cheap little transformer built in to the antenna. I was wondering, should I delete this and just connect straight to the antennas them self?

I set them each to 26', to correspond with my usage of channel 13. But that transformer, should I delete it?