This is not a choice per se. The out of hours doc you have to contact depends on where your registered GP provides cover. It will either be East Doc (Vincents) or DL Doc (St Michael's). We have been to both as our doctor changed from one to the other and back again

Personally I prefer East Doc !
Ask your doctor where their out of hours cover is, and put the number into your phone. You will need it at some stage in a hurry.
If you are not registered for a GP - register immediately and avail of the Under 6 GP card.
But you would only use this service when you want to go to a GP - nothing more serious !
I know VHI Swiftcare is closed now to non-VHI, but if you are with Laya there are two similar options opened in the last 6-8 months.
https://www.layahealthcare.ie/quickcare/
My Medical in Cherrywood probably the easiest and open from 10-10 Monday/Friday and 10/8 at weekends
Affidea in Tallaght are 10-10 365 days a year
Both take kids from 1 year old for certain types of injuries/illnesses.
if more serious Vincent’s or tallaght
No, you definitely can't - Vincent's emergency dept will not see anyone under 14 years of age:
Absolutely correct from
@arbitron here. Vincent's does not take children under 14 years of age. The only realistic option is Tallaght ! It has a dedicated pediatrics unit for A&E. Private make very little difference in emergency pediatrics
Blackrock Clinic & Beacon A&E don't take children under 14/16 respectively
I know I’m probably stating the obvious - but if it’s an emergency, call an ambulance. The paramedics will start to assess and treat your child as soon as they arrive at your house. Treatment can continue on the ambulance, and the paramedics will get prompt attention (if it’s needed), as soon as you get to A and E.
This is very good advice. If it is a real emergency you need to call an ambulance - day or night !!
The only other bit of advice I would suggest is to consider a pediatric first aid course - reminds me I should probably do a refresher one !
http://www.stjohn.ie/first-aid-courses/baby-and-toddler-first-aid-course/