Id suggest one. We went when dd was 2 and 3 months and she got tired so it was nice to have stroller for her to sleep in. HOWEVER we are tall folks and only had the cheapie umbrella stroller that my dad had and it was hard to push around and she slumpped forward and we thought it had to be uncomfortable but we got around with her by reclining it back and rolling it on the back two wheels. We were trying to meet up with the rest of family(my dad and brother) for lunch and had to stroll her that while sleeping.
Definitely have an option but if you plan to take it really slow maybe you can "rent" one there when the time comes to need one.
Wanted to add she did walk quite a bit of the day though and therefore pushing around the stroller with the bags hanging most of the time. LOL Another "pain" because the heavy bags would tip it. So my dad put his backpack in the seat and it kinda balanced it out.