OK. Fuel pump part number from Toro is 808656 according to the parts manual.
The fuel filter is awkward due to its location and a fiddle to change with no real easy solution. Regarding the bed it can be raised further if you have the electric actuator. Lift the bed up to maximum height, then lower by an inch or so. Remove the pin that attaches the actuator to the bed and you can now lift the bed higher. You may have to prop it up with a piece of wood or something to stop it dropping down again.
If you think working on the engine is hard under that bed, Try changing the battery
The pedal start function is mainly due to these types of vehicles being designed for regular stop start work on golf courses etc. Its a lot easier to just jump on, release the brake and push the go pedal than constantly turning the key on and off. Just like a golf cart. You can make these key start if you wanted to but Why bother LOL. You have to figure out the wiring for a different key switch and rewire to either start on the key or continue running after the first push of the pedal until you turn the stock key to off.
If you removed the stop function wires from the pedal switch or the wire that grounds the ignition to stop the engine, it will continue to run, but you would need to be able to ground the ignition to stop it when you need to. Hence the need to change out the switch to a type that incorporates an engine kill function.
Oh, and don't take this the wrong way, but I advise you to write full words not text speak, this is an open international forum, not social media. Some members may take offense, and others are all over the world and will find it difficult to translate.