ipad autoswitch networks?

Hello,

Hopefully this isn't too off topic for this forum.

I have a cable modem at home setup with a Linksys router that has wifi enabled on it. It is setup on the main floor of my house, for the sake of this example say the network name is currently set as Nathan.

My wife uses wifi on a laptop on the main floor. The problem is on the second floor in my bedroom, the signal drops in and out and I like to use my ipad there.

To solve the problem I’ve run a network cable to the bedroom and bought this dlink access point: http://www.amazon.com/gp/product/B001P817YO/ref=oh_details_o01_s00_i00

My plan was to set this access point with the same wifi network name as the main router on the main floor (Nathan) with the hope that the iPad will automatically move to the device with the strongest signal so when I’m upstairs it would be on the upstairs access point and when downstairs the downstairs one.

Will this work? I have the original iPad Or is there a better way to solve this? Oh, I should add that I’ve tried wifi boosters and different antennas, none of them worked, my house must be made out of lead or something, so I decided the only way to know I can solve it is with an access point in the same room.

Thanks in advance.

Nathan