Tbh I would go to your local CASH or sexual health walk in or brook clinic about this, as they do this every day and will be able to talk you through everything in more detail, and show you what coils and implants look like before they go in. They will also be better at putting you at ease as they deal with this every day and will ask the right questions to find out what is best for you. They will probably ask about your periods, if you're sexually active, how often you have sex, if its with one partner or more, how are you at remembering to take pills, how do you feel about potentially not having periods...
GP = general practitioner... emphasis on the general, they'll know a bit about everything and might specialise in a few things.
When i went to my doctor about having a coil fitted they just told me to go to the cash clinic. They are most likely to offer you the pill, not because its necessarily the best option for you, but because its the easiest option for them.