MySQL cluster with HAProxy balancer outside of local network

I am building a mysql cluster on local network. I have 3 nodes and would like to load balance them using HAProxy. It works fine when I place HAProxy on one of my nodes inside of the network. I bind its Ip (lets say 192.168.0.1) to the ips of the sql nodes (xxx.xxx.x.2 ,...3,...4). My question is: how do I bind HAProxy to my nodes if i want to place it outside of my local network, lets say, on AWS micro instance? I want to direct mysql pulls through aws to my 3 nodes that i have at home. I have already forwarded port 3306 and can access it from outside no problem. But I only have one public Ip. How can I bind haproxy's ip to my public ip so that it connects to all 3 nodes. That is the part I cant wrap my head around. Thank you for help in advance.