Just thought to add my own experience in case future users would like to have additional information. I quickly converted to tubeless tires using the split tube method (also called ghetto style).
I used this exact method showcased in this YouTube video (easy setup) :
You don't have to use dedicated tubeless tires but this method don't allow for very low pressure (I usually ride between 12 - 18 psi for 4 inches tires). I first used the stock Kenda tires and then I swapped then with Schwalbe Jumbo Jim ones. I am currently using Orange sealant but it's not very effective, I will swap to Stan No Tubes in the near future.
With the current Jumbo Jim, I've had 4 punctures on my last 2000 miles (90% pavement, 3 in the rear, the last one, yesterday, though two of my punctures happened off road).
That being said, when the sealant was ineffective (most of the times, it does slow down the leak and show you where it is), I just plugged the hole with any regular plug that is used for tubeless tires (bicycle, motorcycle or car). It's very quick (much quicker than removing the wheel, the tire and replacing the inner tube), you keep your wheels on the bike and during winter time, you can also keep your gloves on.
I do always carry with me a mini pump (soon to be electronic, just much less effort) and my plug kit without a spare tube when I'm commuting. I do carry a spare tube for long distance rides (over 120 miles).
When I was just a "regular" cyclist (normal bicycle), I was also carrying a spare tube and a mini pump, so not much has changed there.
A video below displaying how you plug a hole for any tubeless tires :
Not saying this is the ideal solution for everyone but it sure suits me and I won't go back anytime soon.