First of all, we would certainly recommend hardwiring the whole house with Ethernet cables as this will minimize your radiation exposure. Wifi is two-way traffic and your iPad, smart phone and other wireless devices still emit the same amount of radiation.
How many routers you would need really depends on the building materials. For example, reinforced concrete walls and ceilings attenuate the wifi signal strongly while the signal will pass through wood virtually unattenuated.
The best advice is to place a number of Eco routers in enough locations in your house to provide optimal coverage, and hardwire the LAN connections from your Internet modem to each of them using Ethernet cables. Alternatively you may daisy-chain them by running an Ethernet cable from one Eco router to another.
If you have existing coaxial TV cabling in your house the coax network adapters may be a good solution so that you don’t need to pull LAN cables. The way these work is that you place a 2nd Eco router in the room where you want to have additional wifi coverage, then connect that router to the coax network adapter, and connect the coax network adapter to the TV coax outlet available in that room. Then you connect your Internet modem to the 2nd coax network adapter, and connect that coax network adapter to the TV coax cable/outlet near the Internet modem. In this way the coax connection replaces the Ethernet LAN cable you would otherwise need to pull from the Internet modem to the 2nd Eco router.
Another solution exists, powerline adapters, but they work with a signal at a frequency of around 30 Megahertz that is fed into the power lines. These act as a kind of antenna because they are not shielded, and radiate the signal around your house. Sometimes neighboring amateur broadcasters even complain about the interference of the powerline adapters. This option is therefore not completely radiation-free and it is much better to lay LAN cables.
It may be tempting to use a wifi repeater or even a mesh router system, but it’s important to understand that these increase your wifi radiation exposure. A mesh is a mess from an EMF point of view. All wireless signals are transmitted twice or more from one mesh node to another. Wifi repeaters have a similar problem. It’s like a wifi receiver and access point in one box. Any wifi repeater will transmit 10 pulses per second, 24 hours per day. Furthermore we cannot guarantee seamless interoperability of our Eco routers with a repeater. We advise to run a LAN cable to the 2nd point where you need wifi and place another Eco router there.
Read more at Is a wifi booster/repeater/extender a good idea in terms of radiation?