I am a doctor and I would definitely avoid having a c/s (if given the choice). Obviously if medically needed then it is a different matter but you really need to be aware of the risks of c/s. it is a major operation with both intraoperative and post operative risks - blood clots, bleeding, infection & hospital stay. It is definitely not the 'easy option'.
In contrast your body is designed to give birth, yep it may be painful but so is recovering from major surgery. My 1st it took 7hrs and yep tested but that wasn't too bad either really - few stitches that healed relatively quickly. Up and at them straight away afterwards!
The NHS is brilliant but but I would always try and avoid as much medical intervention as possible - I have seen too many snowballing of investiagations/tests/treatments/post operative infections/complications etc.
Please consider your options very carefully before choosing a c/s. there have been 8 babies born to my group of friends in the last year, 7 of these vaginally - none with any complications or prolonged hospital stay, 2 requiring an epidural. Yep a vaginal birth isn't a walk in the park but neither is C/S.
Taking1 - women are offered choice in the NHS but the risks with having a major operation need to be weighed against the risks to the individual and often these do not add up to be the patients interest. No doctor wants to put their patient at increased risk, resulting in ill-health, prolonged hospital stay (and increased cost to the nhs) because everyone loses in that situation. I am glad you are paying privately for it but don't expect it to be a relaxed planned affair you envisage just because you have gone private and planned it. Nothing with the human body is that simple or easy to plan I'm afraid.