Disclaimer: I don’t know anything about the wireless HDMI kit or the Apple TV. That said, my advice to you would be to get a Mac Mini or other computer or laptop to act as what is called a home theater PC (HTPC). You will hook it up (with a cable) to your TV, connect it to your home network via wireless, and control it with an array of wireless options.
In my case, I have a Thinkpad laptop connected to my TV. HDMI or DVI connections are preferred, although I use VGA and output 1920x1080 resolution (1080p) just fine.
I can control the HTPC from the couch with a Bluetooth keyboard (built in mouse is helpful). With a USB adapter, I can also control it with an infrared remote (so I can control the computer and the TV with one remote).
Since it’s a standalone computer, I can browse the web on the TV like any other computer. Kylo is an interesting web browser designed for HTPC use. There are other options if you want to really do everything with a TV-style remote control rather than a keyboard.
On my “real” computer (desktop in the bedroom), I set it up to share files over my home network. Any files that I download to my desktop computer are easily accessed on my HTPC (and vice versa). When I play a video file from my desktop, the file is streamed to the HTPC, and the HTPC decodes it to the video that gets displayed on the TV.
Again, I don’t know how well the wireless HDMI kit works, but it is a basic principle that it takes much less bandwidth to send a video file than the actual video output. An HDMI connection is designed to transmit 10.2 Gbit/s of video. Your typical 802.11n wireless connection (which the wireless HDMI kit uses) can transmit something like 70 Mbit/s (I’m talking real speed, not theoretical), which is over 100x slower (but fast enough to send an HD video file on-the-fly).
From what I’ve seen, the new Mac Mini is very well designed for this. Small, stylish case, powerful enough to play HD videos and pretty much any other media you can throw at it, and a very quiet and power efficient (8 watts at idle!) design. But it’s a little pricey, and in my case, a 3 year old laptop works (almost) as well.