My first ever trip to MK as a parent was with my best friend and her two littles. My poor DH missed it. Disney wasn't even on our radar at that point. I just happened to be visiting my BF who lived in FL at the time, and she asked if I wanted to go to Disney and I said "Why not?" My DSs were 22 months and 4. Hers were 5 and 3. We had a blast!!! I rented a double stroller and do not remember any issues. My DSs loved it more than I could have imagined. It was absolutely magical. The People Mover, IASW, Tea Cups, the train and Dumbo were huge hits which we rode multiple times. Jungle Cruise was also a favorite. They enjoyed the parade and seeing the characters from afar (neither were brave enough for the character meet and greets). It was truly the most magical visit that sparked a love for Disney. Fast forward 17 years and we have now made many, many more trips with the kids at different ages and have enjoyed the different stages of park visiting. It was so much fun to see them progress up to BTMR then SM and then onto all of the bigger rides at other parks too (EE, RnRC, etc).
All of that being said, though, that first trip was back in February 2005 and a lot has changed since 2005. I am pretty sure the price of admission was around $58 back then (don't quote me on that though, I could be wrong) and the parks were not as crowded. I do not remember having any issues maneuvering the double stroller, and I do not remember any super long lines. There was not
Genie+, just paper FP. Heck, I might not have even had a cell phone (I was a holdout and one of the last ones to get one), so no distractions there looking down at my phone to book my next Genie+. The bottom line, the park has changed since then. Even the closure of the train right now makes a huge difference. The train was a great way to keep them both in one spot, happy, entertained, and resting for a little while. I am pretty sure we road that one multiple times too.
Soooo, as magical as my first trip was, I think I would hesitate before recommending that you do MK solo right now. Would it be your littles first trip to MK? If so, I am not sure you would want DH to miss it. That accidentally happened to us because for that trip in back in 2005 I thought I was just going to any other amusement park. I had no idea that that trip would be so magical. Next question, how recently have you been to MK? How familiar are you with the rides, restaurants, where the bathrooms are, etc.? When I went on that first trip, I was with my BF who was very familiar with the park so that helped a ton. Lastly, I also hesitate because I do think your littles could just have a blast at the pool, splash pad, riding the monorail, riding the boats to other resorts, playing on the different playgrounds, chilling out on the beach at the Poly, going in the different gift shops, heading over to the Tri-Circle-D ranch, visiting AKL, etc. There are so many ways to keep the little ones happy. Heck, mine just loved riding the Disney buses!
I honestly think your trip will be magical with whatever decision you make! Have fun and enjoy those little ones while they are little. You blink and all of a sudden they are all grown up and in college.