1and1 sucks on a number of levels. Avoid at all costs.
Some registars (including godaddy) will give you free privacy if you reg or transfer in multiple names (in GD's case, I think its five or more, regardless of TLD). If you don't see an offer for that on a registrars web site, call them and ask/tell them you have multiple names you are considering moving to them if and only if they will give you one year of free privacy.
internet.bs offers free privacy as long as you are the registrant of the domain. Most other registrars, any free privacy is only for the first year of the name.