When are you going to the parks? That will make a big difference in the crowds you see. If you are going the first week in September, then enjoy yourself and don't stress too much (but the major rides will still have 45 minute waits, so prebook them and ride them first thing if you want to ride more than once). If you will be in the Magic Kingdom on the Fourth of July or the day after Christmas, well, you're in for wall to wall people EVERYWHERE. Regardless of a touring plan, you will see 2 hour plus waits, and will be practically touching people as you walk and weave your way through the crowds from ride to ride.
In May, we had low to average crowds (3-6 on easywdw scale), and for regular days, time of day makes a bigger difference than anything else. Mornings will always be pretty free and easy, but even on "low" or "average" days, lines start to get longer and the crowds on the walkways get more congested towards lunchtime and in the afternoon. I was in a wheelchair our last trip (broken ankle and foot), so my DH had to wheel me around, and afternoons (and evenings around parade and fireworks times) were really frustrating for him because there were so many people, it was hard for him to wheel me around and keep people from hitting my booted, but still very sensitive, foot. People will cross right in front of you without thinking or looking. I guess they are just too caught up in the magic.
Touringplans' advice of an afternoon break can get you away from the madness. We would get 8:05am ADRs in the parks and be ready to leave about 5-10 minutes before park opening. We would be one of the first people in the parks and tour from 9am-2pm or so before leaving for an afternoon break. If you can swing it with your group, I would leave at 12pm and be totally free of the afternoon crowds, however, in reality, only 3 hours in the parks just doesn't quite feel like enough, so we would keep going until 2pm. However, those extra 2 hours were a lot more crowded. Our son was 4, almost 5, so we only did late nights a couple of times, but if you can go 3 hours in the morning and then relax all afternoon, and then coming back to the parks after dinner, your crowds will be a lot less than the 12-5pm time.
If you are staying on property, particularly with park hopper, my favorite thing to do is EMH in the morning and then park hop to a less busy park later in the day. All those things people tell you about avoiding EMH in all the literature assume 2 things: 1. you will not get to the parks 30 minutes plus early before EMH and position yourself at the front of the line or holding area, 2. you will be staying at the EMH park for the afternoon. KNOW THYSELF. If your group won't get out the door in the morning to be at the park right at opening, if not 30 minutes prior, then heed the standard advice. If you are morning people, or at least motivated in the morning, you are ahead of most people who are not motivated to get up an hour earlier on vacation, and you will have MUCH more free time in the park. My favorite days in the parks are semi-busy days where they open at 8am and have EMH starting at 7am. We got more done from 7-11am with no crowds than on any 9am-2pm day, by A LOT, and the walkways weren't crowded and lines were short until about 11am. 4 hours of free and clear touring was pretty awesome, and that's how I would like to do my vacations in the future. It even works on crazy days like Christmas where you can do as much as you can in 4 hours from 7am-11am as on a regular or low attendance day with a 9am opening, but I would GET OUT after 11am on Christmas unless you want to be a human sandwich.
As for which plan, I am am one of those crazy planners who uses/subscribes to all of the plans and services and reverse engineered the programs to get minute by minute wait times for every ride for my planned days. If you want a stock plan, I prefer easywdw in conjunction with his map of best times to hit different rides in case you want to switch a ride or two up in the plan. The problem with stock plans is that they are general and may not cater the the preferences of your group. The other problem is that you may not know the preferences of your group until they get there and actually ride the rides. I planned 2 days in the Magic Kingdom because my son was 4 and I assumed he would be like most 4 year olds and love the rides there. Turns out he LOVED DHS, particularly the Star Wars ride. We did Star Tours for 2 hours straight from 9-11pm one evening, with him just running off the exit and back into the line- no wait at that hour and because it is high capacity. We literally rode it as may times as his little feet could carry him until park closing. The next day in the Magic Kingdom, he just wanted to go back to DHS (I had ADRs in the park and didn't buy park hopper for our 5 day trip, so we didn't shell out the extra money to add on park hopper on our second to last day. We won't go again without park hopper). By this time, I was a walking touring plan program, so I knew which rides to do when from memory.
However, this is where a service like touringplans comes in handy. Sounds like you already have it, so if you bring a laptop or tablet that can run the program, just plug in what you think would be good for your next day in that park. Say your child wants to ride a single ride 5 times or more, but you want to add in others as well. Go ahead and plug that in and see what it spits out. Say you are all tired and don't want to get up early the next morning even though you committed to rope drop every day. Plug in an 11am arrival time and your preferred rides and see what happens.
Stock plans are great for an overview of the parks and first time visits. If you have 4 days, then follow those each day for each park. IF you have more days, do stock plans for the first time in each park, and then for your extra days, choose your park, pick your favorite rides and if you want to repeat them, and then see where the touringplan program takes you.