Are you sure your Vaio doesn't have video out? Which model is it?
If you did have another laptop with video out, the quickest way to transfer the footage or 'capsules' would be via a straight forward network connection, i.e. ethernet (crossover cable/patch cable). Whether or not the other laptop needs the Sony software installed would depend entirely on the file format the recordings are in and whether the other laptop has the correct codec to play them back. If you look at a single recording and tell us what format the file is in we'll be able to find out more.