newbie 5th wheel question
That tree stump is called a 'fifth wheel hitch' They run from $25 (used, of course) to $5000. Most small hitches are in the $200 - $500 range (including mounting hardware). Installation is usually $100 - $200, although if you know what you are doing you can install it yourself. You will also need a 'brake controller' for $150 or less; installation of this can be over $200 if your truck has no trailer wiring at all.
Is your truck a long bed or a short bed? If it is a short bed, you may need to add a 'slider' to your hitch in order to turn sharply without the trailer smacking into the cab. These are about $100 for manual ones, which are a real pain to use. In the $2000 and up hitch range, you can get 'automatic' or power sliders which claim to be much easier to use.
The real problem is that your truck does not sound like it will tow much trailer. 1/2 ton pickups are generally rated to tow 7200 lbs max. And that value usually requires special equipment (spring augmentation, extra engine and transmission cooling, optimal engine/gear ratio) and is probably not condusive to a long truck life. Without these, the rated weight drops signficantly. Exceeding the limitations of your tow vehicle is not recommended, as it will lead to an early (possibly immediate) death of your truck, your trailer and/or the people in the truck (or complete strangers whose relatives are lawyers
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If by 'living in it', you mean tow it out to your spread and park it, possibly your truck will do. If you are going to be moving it a lot, you may want to upgrade your tow vehicle. Otherwise you are limited to the lightest trailers. They are out there, but I was not impressed with their layouts or functionality.