Are you a professional rider? If you are, you need to get yourself some professional childcare that is flexible enough to fit around your competition schedule, and accept that you will be leaving your baby behind when you go to competitions. If you are not a professional rider, why do you need to be competing 2-3 times a week?
I used to compete at county level. I sent in my last county show entry form before my first baby was born, and took the horse out competing when DD was 5 weeks old. We narrowly missed out on a RIHS place (got the qualifier, but lost it again in the prize giving.) I decided to give up competing there and then, and took up hunting instead - you can make your mind up on the day if you really want to do it. I found it really hard to fit in 2 children, a complex (albeit part time) job, and a horse who could be really top level if prepared properly or drop me in the ring if he felt I wasn't paying him the right kind of attention!
I sold the competition horse and bought a 3 year old just off the ferry from Ireland (as you do!) and he has turned into the most fabulous hunter. Plus he is only little and very gentle, whereas the competition horse was nearly 18hh with a big sense of humour - it is much easier to get help with a little mild-mannered horse than a gigantic snorting fabulous beast, and with kids help is essential.
Some people do manage to keep competing with small kids in tow. But for the most part they are either wealthy and have very good paid help, or lucky and have a lot of unpaid help and an easy horse. Sorry if this is not the news you want to hear. After nearly 6 years away from the scene, I am finally considering how I am going to get back into it. I did working hunters before, and was always very proud of my standings against the pros when I held down a full time job and produced the horse myself. I will be happy with the next horse to send it to a producer, and be less involved in the schooling myself.
It might be tough news to you, but it's what often happens. If you manage to compete full time without childcare, bloody well done!