I currently have a 2005 F-350 4x4 Deisel streight box (should have got a dulley but didnt think id need it at the time) now im looking to upgrade to a bigger horse trailer, im looking to purchase a 4-horse gooseneck trailer with 8'-10'LQ it will most likely be pulled with 3-4 horses and travel anywhere from near distances to 8-10 hr hauls. Will this truck be ok to handle such a trailer from going to stoping and everything in between? If not what would i have to get to be within the towing capasity of this truck. Ive asked different places and they talked over my head with numbers and asked number questions that I dont know? Any help is appriciated!?

Welcome to the forum ...
There's just no way of getting around having some numbers. Any person saying yes or no to your situation is just guessing without some hard number information. You will be the person broke down by the side of the road, not the guesser.

So... You need:
loaded weight of the trailer.
Hitch weight of the loaded trailer

These are the most important numbers and the hardest to get. What's the significance??
The loaded trailer weight combined with your loaded truck's weight should not exceed the Combined Gross Vehicle Weight Rating. This is what your truck was engineered to handle, pull and stop.

The trailer hitch weight combined with the truck's weight will be limited by the rear axle weight rating. If it is exceeded, the rear axle, tires, springs, shocks, etc will wear quickly or fail quickly.

That's just the basic trailer matching. Then you'll want to look at the truck bed length and trailer nose shape & length.

Then look at the hitch height and the trailer coupler height.

Then look at the clearance between the trailer and the top of the truck bed and tailgate. Repairs are ugly and expensive.

Last... Here's my experianced "guess". The trailer you're considering is too much hitch weight for your truck. It will squat the truck like a dog sitting down. Even with helper springs and such nonsense... the tires, axle, will be overloaded.