Dear Kristen,

The Church makes no such instruction at all to hold hands during the Our Father..  therefore the correct thing is to NOT hold hands, but rather simply hold whatever reverent posture you already normally have during the Mass when standing.

Now in your particular case you may need to make a judgment call whether or not to hold hands this Sunday, of course I don't want you to make a scene.  If the priest specifically instructs the people to hold holds, well then hold hands because the Church values uniformity in postures...  but quite frankly if the the priest DID make such an instruction, he would be wrong and overstepping his authority.

Whenever I find myself at a Mass where the people start to hold hands, and if there is NOT a specific instruction from the priest, then I simply politely decline to those standing nearby, and I haven't had any problems.

Mr. Slavek