We used umbrella strollers at tba just because we were splitting up occasionally. We will use our dual stroller more at TMEA beacuse we will be together and it has more storage.
I've also taken my kids to sessions. We bring snacks and bottles and they usually fall asleep. I sit near a door in case we have to make a run for it!
If you haven't noticed, the CC has great mother's rooms. There are stalls for nursing and changing tables outside of the stalls. Also outlets for pumps!
Remember, so many of the other attendees are parents and have been in your shoes. Many are probably missing the baby stage or missing their babies they have left at home. Do what you're comfortable with.
And in case no one has told you, you're doing amazing!