When expecting my first DGS, my DS & Dil asked me what I would like to be called. I thought long and hard and eventually came up with Bubbe.
For those of you who may not be familiar with this, it is a yiddush name and the general perception nowadays is that a bubbe is a frail, little old wizened lady, wearing a shawl and mostly black clothes. But as a child, I had a bubbe and I loved her dearly, so for me it was partly as a way of honouring her. And also, I realised that Bubbe would be a name my grandson would be able to say much earlier than Grandma (which his what other (rather competitive) grandmother is known by). And I love being known as Bubbe.