I've done that trip innumerable times and in my opinion, a weather router is a waste of money. Weather wise, the gulfstream makes it's own weather and no forecaster or satellite can pick up on these 'micro systems'.
On our last trip south, our sistership left within an hour of us following his router's directions; Oct 8, 2011. I just put my nose down and followed past experience beating feet directly for Bermuda. The other boat pissed around trying to find the router's predicted currents and winds (remember this is very much hurricane season).
We literally tied to the customs dock 5 minutes before a mighty southerly slammed into us. Our friends arrived something like 30 hours later, beat to death and with some serious broken gear.
On the previous trip, a year earlier, we were in a 70 knot southeasterly blow that was not on any of the broadcast weather reports. That lasted about two hours then it swung around to westerly at 40 and sent us back on our way to Bermuda lickity split, all the while the broadcasts for our area were saying we were having 15 to 20 knots of east north easterlies!