Definitely try the soldering trick first (at least on 1-2 sockets). I've done it and it worked on most of mine. Trick for me was to use some flux - otherwise the solder did not want to 'stick/flow'.
Also agree on the new pop bumper caps. Not that great of a picture, but you can see the new caps on my Heat Wave (also a '64 Williams). They really set off the game.
Depending on the exact cap they can be up to $12/pp but if you plan on keeping the game (and I always do at first!) then they are well worth it.