OT: Ethernet to wireless converts

[Phil]

I know this is off topic but I don't know where else to ask.

I'll be losing my landline soon and will only have access to the 
Internet via the mobile phone network. I have a video recorder that gets 
it's programme guide via an Ethernet connection. So what I need is an 
Ethernet to wireless converter. I've looked at a couple of options from 
EBay but I cannot quite see how a wireless connection can be set. Maybe 
two wireless devices are required, one at the router and the other at 
the video recorder?

Does anyone have experience with Ethernet to wireless converters?

Also, I have some other devices that are networked to my router via 
Ethernet cables, the printer is one. I assume that the network will 
still function without an Internet connection. I cannot confirm that my 
network will still work by simply pulling out the phone line plug 
because the router automatically falls back to a mobile phone network 
connection.

Thank you for all advice offered.

-- 
Regards,
Phil