I used Molly Maids before but they are not cheap and you are not guaranteed to get the same person/people each time. On the other hand, I presume that the reputation of the firm goes some way towards assuring their honesty integrity. I presume also that the firm does a full background check.
I see that there are a number of such companies in the [broken link removed] such as Molly Maids, Liffey Maids etc.
I have the name of a Lithuanian lady who lives in Swords and is very reliable. She does this type of work, and did some for my sister until she gave up work.
We put an ad up in JCs supermarket over 3 years ago. Found an excellent woman who agreed to stay with us when we moved outside Swords.
I have also seen ads from women advertising their services on these notice boards.. might be a good place to start.