Now maybe I'm naive, or maybe it's just that you only do this once in life, but I didn't realise that the buyer's solicitors give the sellers solicitors your money, and then deduct their fees and the accountants fees before sending it to your Bank: so, if you want to get your hands on your money, you have to accept the two estimates, rather than haggle or withold - a very cosy arrangement.
Having said which, the solicitors fees were very reasonable and I felt that they had played very square with me, whilst the accountants are, to my mind, really over the top: And, from everything everyone told me, I expected the reverse to be the case.