There are loads of accomodation types which cater well to families both in and around Dublin. The city centre is very walkable and is stroller accessible, although the streets can get crowded at the weekend. The Luas (city tram) is also stroller accessible so choosing a hotel close to the centre or near a Luas line is a great option. You might also opt to stay in an apartment and Airbnb has some fantastic offerings. Make sure you ask about lifts, stroller accessibility and safety along with bedding for little ones if staying in rented accomodation.
Please see our Directory for a list of baby and toddler friendly hotels in Dublin.