As a person who worked in the baby retail business for longer than I care to think about, I'm not sure I'd recommend even bringing a stroller shopping to a place like Davis. Especially not one of the big expensive "SUVs" of the stroller market. Life is complicated enough for new parents. Lock it up if you MUST bring it, but there are a lot better options out there for this sort of trip.
My recommendation would be a combination Snugride type of stroller (kind of a frame and wheels for the carseat. Graco makes one specifically for their carseats, and there's a more generic version available from Baby Trend called a Snap and Go) and Baby Bjorn. Snap and Gos are a lot easier to get into tight spaces, and the Bjorn makes it easy to take the baby into places where even that little stroller would be awkward.
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My recommendation would be a combination Snugride type of stroller (kind of a frame and wheels for the carseat. Graco makes one specifically for their carseats, and there's a more generic version available from Baby Trend called a Snap and Go) and Baby Bjorn. Snap and Gos are a lot easier to get into tight spaces, and the Bjorn makes it easy to take the baby into places where even that little stroller would be awkward.