If there is no difference I would do solids before BF b/c at nine months your LO needs to learn how to eat junkier foods. I always look at it like this, we are training your Laos to eat foods well so when their 1 b-day arrives they are eating mostly everything off the table, with the rest of the family. This encourages healthy eating habits, and is a way to get some awesome family time.
I have always loved dinner time for the opportunity to connect with everyone and find out how their day was. For me all through my early childhood and teens this was my favorite time of the day and I plan to pass this down to my boys.
I don't think the amount of food that your LO eats is to important at this point b/c she is still BF. Learning about textures and taste are the two most important thing about eating at this age.