Free to search are
www.irishgenealogy.ie which now has civil records and is quite good; it only has limited baptism records
The newly created register of microfilmed parish records are at
http://registers.nli.ie/These are really helpful but a tedious slog through; also you have to know exactly where you need to look and the approx. time scale
For more this is a
link to a comprehensive list of sites available
I have found that you need a combination of paid sites to supplement these -
findmypast.ie isn't great for marriages as once you enter a possible maiden name it doesn't seem to give any results but is great for prison and institution records which can yield great information from Police, victims, perpetrators, next-of-kin, etc.
ancestry.co.uk is good for all searching but you need to be creative with your spelling as they seem to have a strange method of ordering results e.g. Kearney spelt Kearny will be really far down the line even if the other searching data is correct such as DoB, spouse, etc.; it is very good for seeing other public trees for clues
rootsireland.ie has a huge number of transcription of parish records available, however they are transcriptions and contain errors. You need to be creative again in your searching! Due to bad handwriting and damaged documents the transcribers must have struggled with names and added to this low literary meant that names weren't always spelt as we'd now expect
I'm not sure my observations will be truly helpful but what also may help is if you post about who you have found to date; someone here may find out more information for you and let you know where which could guide you to the best relevant sources
Not forgetting
http://www.genealogylaois.com/Happy Hunting!