>Obviously we're reluctant as we already feel like we're making all the sacrifices by moving to a rental plus we have two young kids
Are you kidding? I presume they're giving you hundreds of thousands of pounds.
I had to move into a hotel for a month during covid; they gave me a massive family room with two king sized beds, enough room to literally put our own furniture in, and we bought a camping fridge from B&Q and lived off salads and cooked chicken from Morrison's/meals from the hotel and washed plastic plates in the bath. It was absolutely fine. Quite nice, actually.
@Twiglets1 is right that tenants can put their foot down and say 'sorry, can't move', but on the one occassion I HAD to do that as I was deathly sick, the LL, who was moving back into the flat with his shiny new bride was really, really nasty about it, and pestered me constantly including turning up on move day (it took me 2 weeks to recover and move).
Over the last 3 days, I've noticed a sizeable number of reductions in my area. So, tread very gently about how you push your buyers. I was expecting a ton of new listings for BH weekend, not a ton of reductions.
From the perspective of someone who doesn't have kids: 'plus we have two young kids' - (as a potential buyer) - I don't care. I know that makes me mean AF but this is a business transaction and from a personal perspective, if it's been dragged out, your personal circumstances wouldn't matter a jot to me.
I accept that makes me beastly/uncouth/possibly deranged. Maybe you could do with hearing that from someone as blunt as I am.
Nevertheless, I DO hope it works out for you.