What am I doing wrong? (Housing)

My partner and I are saving for a mortgage but not quite ready to purchase just yet. We need to leave our current rental by end of March. We’ve genuinely been searching for a house to rent for over a year. I’m on daft.ie every day applying for everything and anything and barely anybody replies. Then most houses are strictly no pets and we have 2 dogs (it will never be an option of getting rid of them so please don’t suggest that). I don’t know what I’m doing wrong and I’m so worried we’re going to be homeless in March.

Don’t have any family around to stay with either. What do we do come end of March if we still don’t have any place to go? Fed up and so worried.