Most travelers to Ireland are unaware of the fact that Ireland is actually two countries. There is the actual island itself that carries the name of the Republic of Ireland. Wikipedia gives a great account of the history of the two nations and how they became such. It is worth your time learning their histories before visiting these two nations so as to appreciate the tensions they both suffer and why they have different traditions, beliefs, and customs. https://en.wikipedia.org/wiki/Republic_of_Ireland and https://en.wikipedia.org/wiki/Northern_Ireland, respectively.
So I have found in my extended travels that is really helps to use a hanging travel toiletry bag, especially when changing hotels every day (e.g., when on a tour with Globus or Trafalgar). It helps with organization, spatial issues, and is a huge time saver. Just remove liquids from your quart size bag and place in toiletry bag. All of your sundries are all right there. Just fold up the bag when it’s time to leave for your next location and place in your suitcase. You will know where everything is. When it comes time to leave, there is no scrambling to grab items and no worry about leaving makeup and things behind. Here is an example of a few kinds of toiletry bags:
There are a variety of hanging toiletry bags. These are super convenient, especially in Europe where the hotel bathrooms can be a bit snug. Place your bag on a hook in the bathroom or hang it up in a closet. In any case, they are wonderful and will help you feel organized.
When traveling to Europe, especially Ireland, I love to have a compact mirror so I can do my hair and makeup while my husband is in the bathroom. It saves time and space. https://bestviewsreviews.com/compact-travel-mirrors/
When it comes to the bathrooms in Ireland, specifically the toilets (or the jacks as referred to in Ireland), it’s best to make sure you know that their toilets are low flow with lighter suction. Most toilets have toilet paper at attractions with high numbers of guests but it’s always best to err on the side of caution and stash your own t.p. in a purse or bag just in case. Also, remember that there may be some public toilets that cost money so be sure to always carry local coins. Rep. of Ireland uses the Euro while Northern Ireland uses the Pound Sterling. Carrying hand sanitizer is also a great recommendation just in case the sinks do not supply a sufficient amount of water.
With regards to the actual flushing of the Irish toilet there are a few pointers to keep in mind. This article, while a bit indelicate, is very descriptive in how to manage your toilets and toilet habits. https://justthreewanderingwhales.com/2018/09/08/how-to-flush-an-irish-toilet/