Oceansong1,
I have no idea how your vessel is equipped, nor exactly how much input/advice is polite to contribute......but, I'll try to be polite....

Last year I answered a question very similar to yours, so I'm going to "try" to modify the specifics for you, and past it here....
My personal opinion....
Hiring a weather router is a mistake....
Use your own judgment, based on your own research/knowledge, the
current weather, and the forecast weather.....and you'll be much better off, as well as
learning a LOT, in the process....
Also, you don't "need" any fancy
electronics.....although a
depth sounder,
boat speed indicator, and
GPS are VERY nice, you "can" do this with paper
charts, a wristwatch, binoculars, etc......and I'd add a good
VHF radio as well.....
But, my thoughts / recommendations are based on your having
depth sounder,
GPS,
VHF Radio, etc......but nothing too exotic....(although a SSB radio is alsoVERY nice to have....)
Your exact course / headings will, of course, ultimately depend on your weather, when departing and along your route.....but here's some general info that may help....
SAIL WITH THE
WIND AND WEATHER YOU HAVE.....
AND TRY TO FIND FAVORABLE CURRENTS...
USE THE FOLLOWING INFO FOR PLANNING.....
The pilot charts are very good.....and I advise you to look at them for May/June......
These will give you an accurate general idea, based on historical weather / currents....
My opinion is to use the pilot charts first, before you look for weather routers, etc....
And also prior to searching for computer models, etc...
This will give you some idea of how
offshore weather and currents are
affected by weather systems.....
Also NOAA Weather broadcast of VHF will provide updated positions of the
Gulf Stream, which should be helpful, especially while underway.....
Planning weeks in advance can provide a general route, since the weather (primarilywind directions) upon departure and while sailing, will affect your exact route.....
So, here's a general route to follow, assuming you've got favorable winds.....
1) Out of Ft. Pierce, head easterly about 15 - 18 miles....
2) Turn North just east of the 100 fathom line....
And, head for 30* 00' N x approx. 79* 40' to 79* 50' W.......
3) Then turn NNE staying 20 -25 miles east of the 100 fathom line.....
And, head for 31* 30' N x approx. 79* 00' W......
4) Then turning more NE'erly near 32* N, to follow the main axis of the Stream,
as you head for 33* 00' N x approx. 76* 40' to 76' 50' W....
This will keep you far enough off Frying Pan Shoal....
{ Historically / Typically you can count on a 2.5kts+ AVERAGE speed in the main axis of the Gulf Stream, which is usually only 20 - 25 miles wide.....
From South
Florida, up to 31* N.... typically flowing almost Northerly,
along 79* 40' W to 79* 20' W, before turning NE'erly......
But, that doesn't mean you will always find it right there....
And North of that it meanders even more.....}
5) Continue NE'erly, following the main axis of the Stream....
And head for 35* 00' N x 74* 40' W....this should keep you far enough off the Cape, but still get a decent push from the Stream.....
{ The fact is that, the Gulf Stream DOES meander around.....
especially North of 30* N......and using its push, is
very advantageous.....but you may find the location of the main axis
(with its 2.5 - 3.5 kts current) hard to predict.....
Currently it is well East of the historic positions, but no way to know exactly where it will be in a few weeks.....
So plotting an exact route/course weeks ahead of time, is difficult.....}
6) As you pass well east of the Cape, and wish to head NNE for Montauk, you should be aware
of the southern
current flowing down along the coast, which meets the Stream, just NE of the Cape.....
And near this point, it merges with the Stream, and turns easterly and then ENE'erly.....
But you'll probably want to continue NE'erly.....trying to stay east of your Rhumb Line, until you pass approx. 36* N x 74* W....or possibly even further east.....to 73* W
Then turn North or NNE'erly for your rhumb line to Montauk.....
This should keep you away from the southerly current, and should put you in a favorable current, for the next 200 miles.....(and east of the 100 fathom line, until you near 39* 30' N...)
7) You may find adverse currents the final 100 miles or so.....(although they shouldn't be strong)
And, you should be aware of the WSW setting cross-current as you near
Long Island / Montauk, but this also shouldn't be more than 0.5 kts.....
PLEASE NOTE THAT ALL OF THIS, ABOVE, IS APPROXIMATE, SINCE THERE'S NO WAY TO KNOW
WHAT WINDS YOU'LL HAVE WEEKS IN ADVANCE.....
Even without any offshore weather info, you can make a fast and safe near-offshore/coastal
passage, getting accurate weather and Gulf Stream forecasts before your departure (use NWS and US
Navy forecasts on-line before you leave, and if you don't mind computer model Gulf Stream forecasts, you could use passageweather.com....just be aware that it is COMPUTER-MODELED weather, without human forecast knowledge...)
www.nws.noaa.gov/om/marine/home.htm
And, listening to the NOAA VHF Weather Radio along the way, as they should provide you with adequate weather forecasts for coastal areas from 20nm to 60nm offshore.....
Also, remember, even if you're not equipped with an HF transceiver (Marine or Ham), you can get the offshore forecasts (for areas 60nm - 250nm offshore) broadcast from the USCG on HF, by spending about $100 - $150 on a portable SW receiver with SSB receive capabilities...and you'd also be able to listen to Herb's weather net on 12359 khz every afternoon, and get some real world info....
{ Comparing your boat speed (thru the water) with your GPS SOG (Speed Over Ground), will tell you what current you're in......make note of this, along with your position, every few hours, and you'll be able to tell where the best current is lying.....and of course, then you can determine whether it is faster to sail a rhumb line for your next waypoint /
destination, or head out / in for better current.....}
If you get lucky, you may have a 2kts + favorable current most of the way to Hatteras, and probably some decent favorable currents after that.....
I hope this helps...
John