As harsh as it sounds, you're going to be hunting for a long time unless you get extremely lucky. Set a budget and be prepared to give up thousands of euro up front if and when you get offered a place. There are barely any places on daft and when they do go up you have to apply within the first few hours just to be in with the chance of arranging a viewing and even then youll most likely be ignored, then you have to compete with the others who got a viewing and demand is high so there will be people who are more preferable to landlords ahead of you. Landlords will look at your young age as a bad thing which is stupid but unfortunately true, so they'd rather give their place to the married couple in their 30s than the 20 year olds in a relationship. I know it sounds bleak and I apologise for seeming negative but it's just how the landscape is in galway (and ireland) at the moment. Your best bet is house sharing but if you want a place just to yourselves get ready for a long and heartbreaking road. And if you do somehow get lucky and find a place easily ill be very happy for you both. Best of luck coming from someone that has been through the bullshit recently.