You could combine methods of contraception, then there is even less likelyhood of the being a problem. I don't know figures on condoms splitting, but they will be pretty small - if you are carefully putting it on so its not torn etc....
If you did go on the pill and combined it with using a condom as well (the pill won't protect against STDs) then you have got even less chance of something going wrong. The pill won't work straight away though, so you would need to make an appointment and see you doctor and give time to start the pill before you had sex if thats what you wanted. I like using the pill for its other benefits as well, knowing when I will have a period, having lighter periods, being able to avoid them when I am on holiday etc. I have my packet in my sponge bag so when I go to use it in the morning I take it then. If you were to use the pill pick a time to take it when you are more likely to remember. You could go and see you doctor, atlk to them about the pill, and also what other options you have.