Re: Wi-Fi Antenna for BD Ethernet connections?
Ron--I'll attempt to "diagram" how your network setup should eventually look like w/ the Netgear in place (based on the equipment you mentioned so far):
[Internet] -> Verizon router (IP address 192.168.0.1) -> Apple Airport router (IP address 192.168.1.1) -> [Various devices connected to your Apple Airport router, either hard-wired or wireless--e.g., Mac/Windows PC/laptop, Netgear Print Server that you just bought). The Netgear needs to be configured to have an IP address that's on the same subnet/network as your Apple router--i.e., its IP address should start with the same first three sets of numbers that your Apple router uses (192.168.1), and of course you need to assign the Netgear an IP address that's either not already in use or that you plan to assign to one of your other devices (e.g., Tivo, Panny BD player, etc.). I don't know anything about setting up/configuring the Verizon router from a network standpoint, but I would not be surprised if your Verizon and Apple routers do not use the same third octet in their IP addresses (i.e. the first two sets of numbers may be identical but the third--and fourth--set isn't).
Note--the IP addresses used above are just examples; the ones used on your network may vary slightly but the main point is that the Netgear's IP address (if reconfigured) needs to share the same first three sets of numbers as that of the Apple router. Now if the Netgear is to be eventually connected to the Verizon router (wirelessly or otherwise), then that's a different story but ideally the Netgear needs to be configured to be on the same subnet as that of the Apple router.
It goes w/o saying that in order to get the Netgear to correctly talk to the Apple router on your home network, you will need to configure it first; that is where the recommendation to first directly connect the Netgear to a PC/laptop (using an ethernet cable) comes into play--via the web configuration page you assign the Netgear an IP address similar to that of your Apple router (in reality, what you're doing here is changing the default IP address of the Netgear to one that'll play nice on your home network--more on that in a moment) and tell it how to correctly authenticate wirelessly to the Apple router (SSID, encryption type, encryption key, which it appears you were successfully able to configure on the Netgear since you mentioned that it found your wireless network when you performed a scan).
Seeing how it appears the default IP address of the Netgear is 192.168.0.102, you can choose to leave it at that only if the IP address of your Apple router starts with "192.168.0" and no other device on your home network is already using that exact 192.168.0.102 address; otherwise you'll have to change the Netgear's IP address (based on the web configuration page you posted, looks like it can be done under "Print Server Settings"). So if the IP address of your Apple router starts with "192.168.1", then you'll need to change the Netgear's IP address from 192.168.0.102 to something that starts with 192.168.1" (e.g., 192.168.1.20 if "20" isn't already in use by another device or reserved for DHCP use). Note--you may want to change the Netgear's IP address after you've configured the wireless settings on it since once you make the IP address change and click "Apply" the connection between your Mac and the Netgear will most likely drop. Also--if your Apple router has MAC filtering enabled for wireless devices, you will also need to add the MAC address of the Netgear to the list of wireless devices allowed to wirelessly connect to the Apple router (this step is performed on the Apple router).
Once you've configured what needs to be configured on the Netgear (e.g., IP address, wireless settings), you can then disconnect it from your Mac and power-cycle the Netgear to come up as a standalone wireless bridge. If the Netgear was configured correctly, then any devices connected to the Netgear (like your Panny and Tivo) should then be able to "see" the Apple router (and beyond, if need be). If you choose to manually assign static IP addresses to your Panny and/or Tivo--just make sure you don't give them the same IP address as that of the Netgear; if you're using DHCP, then just make sure that the Netgear IP address doesn't fall in the range of reserved DHCP addresses (as mentioned earlier).
P.S.--there may be other ways to achieve the same result but I personally chose to assign a static IP address for my Linksys wireless router (similar in function to your Netgear, other than the print server part), rather than tell it to pull a DHCP address from my Netgear wireless router (akin to your Apple router).