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I think maybe there's some confusion here.
I've I got £x0k in a tax year from a sale of equity
You have the equity now and want to minimise the CGT liable when you sell it?
If you can sell it off a bit at a time then you can harvest this year's CGT allowance (which is about £12k) and next year's from April for a total of £24k tax free. So if it's a £30k net gain (sale price minus purchase price) you'd pay CGT on the remaining £6k.
If you have to sell it all at once then you have to pay CGT on the lot (above the threshold). I don't think there's a way around that. Well, actually there almost certainly is a way around it (by offsetting losses or something? Not sure) but possibly best off talking to a professional for that.
The discussion of ISAs in this thread is more about avoiding future CGT when you already have a pile of cash. Which isn't the situation you're in if I understand correctly
@Tenderloin this. check "gifts to spouse" tax rules tho (don't know your circumstances)