Part of the problem with grounding is it is NOT a simple issue, and depends on a lot of details for how you do it and still be code compliant even if the basic concept is fairly straight forward, in addition the NEC code as it relates to generator installation has been extensively revised in the last 10-15 years at least 3 times, so what was code legal 10 or 20 years ago may not be today. As a result even many electricians that install generators from time to time get things wrong when it comes to this part of the electrical code.
Having said that if you are going to run a completely separate system that does not connect to your home power system and you will just move the plug over to the generator powered only outlet in the event of an outage things should be fairly simple, as this is basically the way the army intended these units to operate in "island mode".
If all of your outlets that you plan to power are 120VAC, here is how I would do it:
(someone correct me if there is a code violation I missed, as I don't do this for a living)
I would drive a ground rod at the generator, and have the neutral ground jumper installed and connect the generator to the ground rod and set the generator for 120V single phase only
then use a length of cord on the generator with an twist lock L5-30 receptacle (cheapest way to get is probably an L5-30 extension cord (120V only 3 wire 30 amp twistlock) and cut off the plug end and wire this to the output lugs, L5-30 cords are commonly used for marine / boat application in marinas, and finding cheap used ones with damaged plug ends is fairly easy, you just need one with a bad plug and good receptacle, 25 or 30 ft are the most common lengths)
Get an L5-30 inlet box and mount this on the side of the house, from this I would feed a small 6 or 8 circuit main breaker pane with an appropriate number of 15 or 20 amp breakers running to each dedicated generator only outlet.
Total investment cost probably under $200 + wiring cost. $50-75 for a used 30 amp marine cord, $30-$40 for the inlet box, another $50-$75 for the small (60 -70 amp) breaker box and breakers, add in 4 or 5 15-20 amp outlets at $5-$15 each depending on if they are GFCI or not, most places require GFCI for all outlets in living spaces as of the latest NEC code, excluding refrigerators due to chance of false tripping when connected to compressors.