public internet security

[Paul S]

I'm an experienced linux user but new to broadband and wireless. 
Recently I bought a wireless laptop that I can connect to public wifi 
networks.  I read somewhere that public wifi are insecure and should not 
be used for anything that transmits a password (even "https" websites). 
  I also read that the only way to have security at a public wifi is by 
using a virtual private network (vpn).

I am also new to a home broadband connection.  I recently got a wired 
broadband cable network connection (6 mbps).  I do not have a fixed ip 
address, but it only changes when the power goes off or some other 
disconnect occurs.  So, most of the time, it will not change.

I also have a second (older slower) pc that I can connect to this 
broadband connection at home and leave on line.

Is it possible for me to create a vpn on my home broadband pc that I can 
connect to from my laptop whenever I'm in a public wifi?

Would I be able to browse the web over that connection?

Is it a secure?

If you are doing this on (k)ubuntu, could you point me to a howto?

TIA