Q. Is it possible to hook all three routers up to the one modem
Q. Without losing their perks?
A. plug modem into E3000 with DHCP server enabled and all on network can utilize perks.
Q. Will it increase my range?
A. yes. probable best if hard wired back to E3000. can be done through wireless if wireless router can be set to client mode but if range is an issue(upstairs, downstairs) it may also be hard for second router to connect to E3000 wirelessly.
Q. Should I set the n-routers to specifically n rather than mixed signals, and the same for g?
A. No, that would limit your g device if it was closer to the n access point. leave it mixed and let the router decide.
Q. The E3000 offers a faster 5GHz signal while the other 2 routers offer 2.4GHz signals, how will this come into effect?
A. don't know. is at actually faster or is it just using a different part of the spectrum. i would suggest that most hardware is built to be backwards compatible so the E3000 should accept the 2.4 signal.
Q. the XPS and PS3 will be on the middle level so wouldn't that be the best place for the E3000?
A. personal choice, you will know when you start testing your setup.
Q. Does the PS3 have an n wireless built into it or is it g
A. don't know, check manual or try to download manual from sony
Q. I am running multiple OS's on multiple platforms as well as a wireless printer, will it be difficult to network them all together in the end with 3 different router connections?
A. expect to do some troubleshooting but you can make it all work.
Q. What are your suggestions and what would you do if you were facing this predicament?
A. hire an IT guy ? i would plug the modem into the E3000 on the main level and enable it as DHCP server. if default IP is say 192.168.1.1 (this is an example) set range of IP's 192.168.1.2 - 192.168.1.100 (example). set up wireless.
router 2 hard wire to E3000, *disable DHCP * set IP 192.168.1.2
router 3 hard wire to E3000, *disable DHCP * set IP 192.168.1.3
all devices set to "obtain IP automatically" from the DHCP server(E3000)
the answer to "My last point" will be the troubleshooting part of the the setup. you will have increased range for sure, probable have every kid in the neighbourhood with a laptop or iPhone parked in your driveway