A powerstrip won't do any good....It won't create an 'earth' ground.
If you have an old outlet, the only way to be sure is to take the cover off and pull the outlet out of the box and see what you have. Turn the breaker off at your panel, take the outlet cover off. Undo the screws that hold the duplex outlet in the box. Pull it out (with wires attached) so you can see what you have....Almost anything in the last 50 years or so should have a ground in some manner.
If you have a metal box and metal conduit, then chances are your box is acting as your earth ground. You can change the outlet out to a three prong style and using a short piece of bare wire, tie the ground on the outlet to the box. There should be a mounting screw in the box or a clamp plate for this.
If you have a plastic box, there should be a ground in the romex cable coming into the box. Skin the plastic sheath back and see if there is a bare wire or green wire in there (depending on how old the romex is). If there is, then attach it to your new three prong outlet. Use a short wire and wire nut if you need more length.
If you have a plastic box or ungrounded metal box and no ground wire, then you'll have to run one back to your panel box. Depending on where your box and panel are and whether you have a crawlspace or attic, could be easy or difficult.
That's really the only ways to achieve a grounded outlet from an existing two prong outlet. 3prong adapters that have a wire that screws into the cover holder do nothing if the box isn't metal and grounded.