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Marcial,

If you truly want to sell the ball, the best way to go about it is to consign it to a major auction house. There are only three or four who'd be worthy of such a baseball if it's the real deal. Mastronet and Grey Flannel come to mind immediately. Both have large websites. They will charge you a commision, but selling it through them is the hobby seal of approval. They won't auction anything unless their experts vouch for it's authenticity. Without a confirmed expert to write you a "Certificate of Authenticity", your ball will bring just a fraction of it's real worth, simply because there are so many forgeries in the hobby.
If you want to keep it, but are just interested in getting a ballpark value for fun, eBay is the way to go. Make a list of the names on the ball, since obviously all the members of both All-Star teams couldn't have fit on a single ball. I'd look for auctions that have already closed. That way you can get a better handle on what people are genuinely willing to pay.
Depending on the players who signed your ball, I'm sure the range will be from the low $1000s to the low $10,000s. Roy Campanella and Ted Williams on the ball will certainly bring more than Bobby Avila and Gene Baker.
Either way, if you can hold onto it, that's one of those things that comes around once in a lifetime. If you sell it, someday down the road you'll probably wish you hadn't. One of my most precious non-reptile posessions is a baseball signed "To Vinny, Your Pal, Ted Williams".....it's priceless! lol
Good luck, that's a beauty.
Maybe you can take a photo to show us some time!

VinnyButch