I've taken both babies a lot of places together in their stroller. Last Thursday night I took them with me to a midnight madness sale at a local outdoor mall. Went into Coach and Off Saks 5th with no problems. We have 3 local malls that are dog friendly and allow leashed, well behaved pets. I've taken them to our local Target too. I've taken them to South Beach, Dadeland and Aventura Malls in Miami. The Cheesecake Factory in Aventura Mall allowed us to dine in their outdoor seating area. I also stayed in a pet friendly hotel in Ft. Lauderdale last July and we were allowed to dine in outdoor seating at a restaurant on the beach. The only time I was told to leave was at Walmart.
I don't think most people notice them in the stroller since I keep the top zipped up. Overall, I have had a good experience taking them places.