Unless you have a problem with the pump, all you're gonna need is engine repair information.
Id check the oil, pull the plug, get some oil in on the rings, pull it over slowly a few times and get the cylinder wall lubed, then pull it hard, blow as much oil out as possible. A drop in the plug and she no go.
How you have to orient the engine to get oil where you want it? I can't see it.
I wouldn't worry about the carb, just shoot ether at the intake and see if it promises to run.
Once you have reason to believe it will run.
Drop the carb bowl and look.
I'm gonna guess it's just been sitting..
Some pressure washer pumps DIE if the engine spins and they don't have water in them.
Know what you have. Pumps cycling without fluids are usually not too happy. Mine came with specific warnings about that.
I would not even turn it over without providing the pump fluids.
You Might consider pulling the pump off and inspecting it. Maybe the pistons are starting to sieze,,
Depends on how long it sat. A few months, no biggie. A couple of years? Why not have a look.
It's a Free gizmo that you can use to learn on. Screw it up, you lost nothing but gained experience.
Disassembly is the important step. Being organised makes putting it back together much easier. Set every part down and note the position and orientation to the last part.
Any fuel is probably trash, so I'd empty and clean the tank if it looks needy, but if you have spark and compression, with carb work,you're probably in business.
The hose? Age, heat, sunlight, it's likely to be ready to die,
Lowe's sells stuff for pressure washer.
Check the engine manufacturer and hunt for a forum specific to it.
Tecumseh engine can be hopped up. They sell all kindsa hop up parts. And there's a forum for all Tecumseh engines.
http://www.lawnmowerforum.com/tecumseh-engine-forum/Sears used them in lots of mowers. The carb on the riding mower I recently retrieved from the side of the road was a mess, but simple enough to save. The rubber tip on the float valve needle had dried out and hardened, allowing the fuel to flood into the cylinder . When I pulled the plug, gas poured out on the floor. Adjusting the lever on the float proved impossible, but heat shrink tubing was enough to press it into the seat. That, and I soaked it in silicone oil to soften it, but probably transmission fluid or a product sold that is supposed to seal leaky seals would work. If not, then you can buy new, but, I avoid spending when there is any other way. Cleaning the bowl, treating the rust with ospho, and cleaning the jets, shooting Berrymans B-12 through passages, and it worked.
Eye protection is a Must and proper ventilation can't be over emphasized. I use rubber gloves. Nothing that will do the job is exactly good for you.
A tip cleaner for a torch is handy.