Easiest route would be via the EEA laws. See:
http://eur-lex.europa.eu/LexUriServ/Lex ... 123:en:PDF
http://www.inis.gov.ie/en/INIS/Pages/EU ... hts%20FAQs
If you are not Irish (i.e. best not to apply for an Irish passport for yourself at this stage), you can take your non-EEA family members to Ireland to love off the back of your British citizenship. I'm not sure of the full details but you're definitely not the first person who has done this. You should search on this forum (Ireland section) to see how it works in practice.
If you have Irish citizenship you will not be able to use this method (if the Irish government/immigration authorities know about it).
I guess your wife will have an even easier time as she doesn't need an entry visa.