When ours were 5 and under, we ate at the table, music on the radio helps, R1 is usually quite happy, pop, fun music but there are numerous stations to pick from.
If you find you need "something else" with your daughter, because I could tell you what we do but we are a family of 4, now teens, so it's utterly irrelevant what we do, but if you want more 'mindful' (for want of a better word) dining time then bring something to the table, it could be a teddy which daughter "serves up a small plate" - think one pea one chip type thing. You can use teddies/dolls as props, "so does Mr Ted prefer the pea or the chip?"
Asking children their opinion on things that are irrelevant, chips and peas, or colours of t-shirts or songs on the radio, helps build their emotional confidence that their voice and opinion is important and they should be heard.
So we did lots of that. There are loads of books under the "would you rather" range, for all different ages, they are questions, would you rather have wings or a tail? type things, get one of those for the youngest age group and go through a question or two, with upbeat music in the background.
There are no right or wrong answers, you can tailor the questions and how you interact to your daughter's ability and comfort. You can do one question each night or several if you are having fun.
I really enjoyed the "debates" we all used to have when they were young, it was so entertaining hearing glimpses into how they saw things.
We have kept up versions of Would You Rather to this day, the questions are more complicated I guess now, and involve world events, feelings, politics even, but it's the same principle, open ended questions up for debate.