Installing a hitch costs and needs

If your truck didn't come with a hitch it probably didn't come with an HD radiator or transmission cooler either. Have a shop check to be sure and if you're planning to tow in the mountains or SW then have them added. You will also need a 7 pin connector and trailer brake controller.

If you dont have even a 2" receiver on the rear, I would suggest you visit a local trailer or truck accessories shop and ask for an estimate on a class III hitch.
You can check U Haul
For a comparasion price.
As mentioned above you will need a 7 pin electrical connection and the shop should be able to tell you the maximum you can tow along with letting you know if you need a tranny cooler for your trailer.

I'm worried about your payload number. What is it?

I'll assume you've done your proper homework and know your numbers. 3000 lbs is pretty light (pop up?) and shouldn't require any special tow package on a F150. If you are remotely handy, go to etrailers.com and buy yourself a tow hitch and install it yourself. Around $150 and they are usually pretty easy to install. I installed one on my sisters minivan in about 30 minutes earlier this week. If you need a brake controller they are usually pretty easy to install as well.