The transition to a righthand drive and driving on the left is easier if you're not jetlagged the moment you step into the car. Will you have a chance to acclimate for a day or two before picking up your rental? The other issue you might encounter is that most rental cars are manual shift, and even in the same make and model renting a car with an automatic transmission adds significantly to the rental cost. It's not a difficult transition to shift left-handed but if manual transmission intimidates you you'll want to make sure to request and pay for an automatic. Another bit of advice is that most credit cards except for some MasterCards do not provide CDW coverage for Ireland rentals so budget for the insurance. Our travel insurance nominally covers rental car damage and theft but only for damage "outside of my control" so I pay for the CDW in Ireland.
Ireland's rail network is mostly a Dublin-based hub&spoke, and doesn't get to many of the scenic areas so you'll be better off with a car. Where else do you plan to go during your trip?
We relied heavily on Google Maps, TripAdvisor and booking.com to identify and prioritize B&Bs with availability for our dates, but where possible we book directly with the property. It saves their costs a bit and often they give a perk like a free breakfast that might cost someone who booked via a reservation site 5 or 10€.
For what it's worth, in Kilkenny we ended up a couple of miles out of town at the Newlands Country House, http://www.newlandscountryhouse.com . It was fine, met our budget and availability need, but we did need a car to really enjoy this location as it's definitely in the country. If you won't have a car or will prefer not to drive to dinner and the sights you'll need something in town.