No! I usually have the stroller because H gets tired sometimes (plus- it's basically like a socially acceptable dog kennel where you can trap a toddler temporarily).
I don't bring the full diaper bag, but I have a small Lululemon garment bag, it fits a couple diapers, a small pack of wipes, extra formula and a waterbottle plus emergency snacks. I keep it in the stroller. It's water resistant and easy to grab. It saves me having to carry the entire diaper bag (which is great for longer trips!).
Re: Track Thread!
I don't bring the full diaper bag, but I have a small Lululemon garment bag, it fits a couple diapers, a small pack of wipes, extra formula and a waterbottle plus emergency snacks. I keep it in the stroller. It's water resistant and easy to grab. It saves me having to carry the entire diaper bag (which is great for longer trips!).