I agree with @Freesiapleaser; we are in a similar boat (SSTC and about to exchange, having to move into a rental as nothing on the market currently in our price bracket - moving from a north London suburb to an expensive commuter area in the SE).
We’ve been monitoring the market very closely for a couple of years now, and have noticed a very prevalent trend of larger, more expensive properties coming on to the market at prices that are (given the tough current market conditions) hugely inflated and unrealistic. They then sit around for months as no one on the next ‘rung’ down (which is us) can afford to overpay for them, before either being dramatically reduced, taken off the market unsold or doing the ‘estate agent Hokey Cokey’, where they disappear for a bit, come back on with a different agent at the same inflated price and still don’t sell. Meanwhile there is a dearth of properties in our slightly lower price bracket, as families who once would have looked at moving up to the next rung of the ladder sit tight - the upshot of which is that for anything above about £500K the market has almost completely stalled (entry-level properties still seem to be selling).
If anything, estate agents will overvalue to flatter and get you on their books - they did with us, basing their estimate on a neighbour’s similar house that sold in 2022 at the peak of the market - and we ended up having to reduce our price twice. This despite us recognising at the outset that they were overvaluing and setting an asking price that was below their initial valuation!
As pps have said, if you genuinely want/need to sell you will need to price very keenly to generate interest in a falling market. If you manage to do this, and end up with competing offers, you are more likely to end up obtaining something like the price you are looking for. Otherwise, you’ll need to sit tight and wait until the market picks up, although given the underlying economic conditions I can’t see a huge improvement happening any time soon.