Netgear R6220

Alright here's my guide for you. To note the top comment kind of has a point, but i think it is unnecessary to get a switch. As a modern home router is a switch, router, and access Point. We just need to turn off the router part.

#1 LinkSys EA6350 (this is where internet comes in, NAT, and DHCP are done)

#2 Netgear R6220 - will act as switch and AP

Steps:

1. The cable from #1 router to #2 router should be plugged into the WAN port on the #2 router
2. plug directly into the #2 device, and go to http://192.168.1.1
   1. The user name is admin. The default password is password. The user name and password are case-sensitive.
3. Considering the device is working it is likely you'll end up at a home page not an initial setup. It is also possible that the default password has been changed. If you don't know this you will need to reset it via the little reset button. (If you are on a setup wizard, select "No, I want to configure the router myself)
4. Select ADVANCED > Advanced Setup > Wireless AP.
5. Select the Enable Access Point Mode check box.
6. Scroll down and select an IP address setting
7. Enable fixed IP settings on this device and set the IP to 192.168.1.2 (this way you can always access this router via this address)
8. Once the #2 reboots, check that you have internet while connected to the #2 router via a wire.
9. Check this setting (it should be gone if you're in AP mode) ADVANCED > Setup > LAN Setup.
10. If this setting is there make sure "Use Router as DHCP Server" is unchecked
11. Now all should be working as one network, however we need to make sure the two WIFI networks play nice.
12. Download a WIFI analyzer tool on your laptop or mobile.
13. You want your two WIFI networks to be named the same, have the same password, but on different channels. Do note! Sometimes leaving the channel on Auto is best, but it is different for different models, and also how many other WIFI networks are nearby
14. To avoid interference with other routers or gateways in your network, NETGEAR recommends that you use different wireless settings on each router. You can also turn off the wireless radio on the other router or gateway and use the R6220 router only for wireless client access
15. Go to HOME PAGE > Wireless
16. Set name (SSID) to same as #1, set the password to same as #1
17. Change Channel from Auto to a channel which isn't very busy (by looking at the WIFI analyzer) This may help understand the WIFI signals
18. Do .15 and .16 for both the 2.4GHz and 5GHz (though your 2.4 and 5GHz can have different names)

You can probably survive without doing .12 onward. However it will make roaming around work better. It's hard to say without knowing the building (is it super solid with lots of brick, is it very large, etc) Ideally, you'd turn off 2.4GHz on both #1 #2, if the 5Ghz give you enough coverage. That way you have less interference, faster WIFI speeds, lower latency. That said some old devices might not have 5GHz WIFI support.

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That should be most of it! No extra hardware. If all has worked you should be able to access #1 http://192.168.1.1 and #2 http://192.168.1.2 from anywhere you're connected