After years of dial up, I've acquired a HughesNet

Usually you can use any brand router to use a wireless connection- I'm partial to the ease of setup and cost of Belkin routers- however I've heard good things about Linksys and Netgear. (personally 8+ years of always on service and reliability from the Belkin I've had predisposes me to Belkin.)
Just remember that if the modem is set to 192.168.1.1- you would need to have the router use 192.168.2.1 as it's IP address. (another thing in favor- by default Belkins are set to gain a connection automatically and use 192.168.2.1)
at that point, it's a matter of configuring your Iphone to hop on the wireless network

I’m happy to help further over the phone at https://www.6ya.com/expert/susan_42b401e0b1603d8a

According to the manual, you can purchase any wireless router (manual calls the router "air base")

I would advise a D-link or a Linksys router.
Manual:
http://www.viasatelital.com/manuales/Instalacion-HN9000.pdf

I’m happy to assist further over the phone at https://www.6ya.com/expert/joe_8b8c2cd6ce148309