Wireless Access Points Recommendation

I have my old two story house which as walls 3 foot think, upstairs and downstairs, garage and out houses all wired with Cat 5e cabling.

Now I plan to purchase and install about 5 Wireless Access Points to make the entire facility wireless.

I am looking for recommendations on what to purchase.

I am looking for:

1. A good quality solution.
2. Strong Wi-Fi signals
3. I assume I may need devices that will talk to each other/complement each other so that there are no "drops" when moving between points.

In my area best I can get for broadband is just under 15 MB, it comes in over the phone line, and it was supplied with a router which is now considered an older model (ZyXel P-660HW-T1 v3 (ADSL router with a four-port built-in Ethernet switch and IEEE 802.11b/g wireless capability)

After spending money on cat 5 wiring, I now want to get the Wi-Fi end of this done right.

Thanks for you help.
Robbie.