Mimo, Jack is very similar. He goes several times a day at day care, but at home it is hit and miss. I still have him in nappies because he has too many accidents in undies. He also doesn't poo in the toilet much at all, only very rarely. I think your dd sounds normal and I don't think it's attention seeking. I suspect they are better at day care because of the other kids there that use the toilet - they are such followers at that age.

I think you have two choices. Firstly, keep her in nappies at home for now, and try full TT a little bit later. Secondly, do what Lucy and some others have tried (there are a few posts around), and just do nothing for a few days. Stay home, and spend all your time with her, asking her constantly if she needs to go to the loo. Lots of people I know IRL and on BB have had success with this.

Good luck with whatever you decide.