Like was already said, your F150 won't like you very much if you choose even the 'lightest' one of those trailers in your link.. I also don't think you will enjoy the towing experience you will have either..
Personally, I look at the GVWR of the trailer to determine if it's going to be a 'viable' option to tow behind my F150 or any truck for that matter.
The new F150's have higher GVWR and GCWR then my F150, but I feel the same weight restrictions apply to even F350's...
Screw what the "tow ratings" of any truck says... You won't ever be able to tow a trailer that weighs what the "tow rating" is because you will likely exceed at least one other weight rating your truck has. Those truck weight ratings are GVWR, front and rear GAWR.. GCWR is also in there, but I'll bet you exceed one of the others before you get to your GCWR anyway.. Yeah, yeah, someone will pop up and say that they are under 'all' of their trucks weight ratings and are towing at the trucks "tow rating".. Great.. I'm talking about 'in general' and NOT towing at MAX capacities..
What you need to do is get your truck weighed and if at all possible, get the front and rear axle weights. These two weights combined give you your trucks GVW. Subtract this from your trucks GVWR and that's the amount of payload you have left. Anything else that goes into or onto the truck reduces your payload amount.
Tongue weight of a TT is going to add a bunch of payload to your truck. The higher the trailers GVWR, the higher the trailers tongue weight is going to be, so that's why I go by the trailers GVWR..
My TT has a GVWR of only #5000! Thats under the 'axle weight' of the lightest TH you have listed.. My trucks "tow rating" is #7700.. Yet, my #5000 GVWR trailer puts me over my trucks GVWR when I'm all hitched up and ready to go for a long weekend..
Anyway, if you want one of those TH, you need to get a bigger truck then an F150..
Mitch