Birth control preventing the implantation of a fertilized egg?

I've been thinking of going on birth control and something that worries me is I've seen text like the title on how birth control works in some cases. Is this for all of it (and I'm excluding things like condoms here and barrier methods in general)? Specific kinds? I have zero intention on doing anything that would do that so this is an extremely important consideration. It's not my intention for conception to happen, but if it does, I have every intention to make sure that everything progresses safely and healthily to birth. Thought to ask here as I really don't want to hear anyone reference the idea that would be okay in reference to my hypothetical child. Makes me feel sick. Very much appreciate any information!

I've done a bit more reading and my current impressions are that the chance is low (I'd really appreciate any statistics about how low it is) for both mechanisms of not ovulating and mucus which makes it harder for sperm to meet the egg, but with the thinner wall being inhospitable to a fertilized egg. Any information is welcome in general, just especially this.