Besides the cost-benefit analysis, it sounds like perhaps you have some furniture that you would like to replace? Is this the right opportunity for that?
Obviously don't move furniture that just really needs to be replaced anyway. Also, you can Kon Marie your furniture, not just clothes and smaller things. Do you hate it? Worn out, irreversibly stinky, torn, scratched? Does it not spark joy, even from a utilitarian aspect? Well then here's your chance to get rid of it as part of a greater movement towards joy in your life. I did that as part of a recent move; it has really helped my "peace in the home" to learn about interior design styles and transform my living quarters to being populated by things I actually like:
https://www.youtube.com/watch?v=s-sdIPkMSOkOtherwise, for a move the distance you are citing, it is very likely much cheaper to move what you have while being selective about downsizing. Most used furniture is just not worth very much, so don't count on getting much out of selling it. Especially since you have quite a large house, you may have relatively large furniture, and the used resale market on the biggest pieces is pretty terrible. Can you sell your kids' dresser for $40? Probably. But don't think that because you paid $500 for it that you will be able to sell it for $200. Your giant Costco sectional? Or if you have a $2000 entertainment center cabinet? Or a really big dining room table? Alas, almost no one probably wants it these days, and people who can afford to pay you are mostly just going to buy new since design trends change. I have found that things like clothes W/D sell fast if they are priced right, which is less than $100 each. Same with power tools, yard equipment, kids bicycles, etc.
Most people in the used market don't have more than $200 and are looking for pieces under $100 unless it is exceptionally nice . . . and even then sometimes it takes quite a bit of time with something listed to find the right buyer. This has been my experience, anyway. If you decide to sell a bunch of your furniture and appliances and get $500-$1000 for it altogether, then I'd consider that a win. It's just as likely that you'll have to see if the charity truck will take it (often they reject banged up stuff, older electronics, etc.) If they reject something and you don't want to move it, then you'll have to either load it up and haul it to the dump yourself or pay GotJunk or some other junk hauling service.
I will caution you that furniture delivery lead times seem to have gotten longer and longer during the pandemic. Supply chain issues, everyone nesting, blah, blah, blah. For example, I ordered a sofa from a reasonable & reliable online merchant (Article.com) and it's going to be about 5 weeks for delivery. You'd be fine without furniture for a short period . . . just set up a badminton net in the living room and your kids will be happy . . . but I do want to warn you about this.