28 months? means just a little over 2 years. you can definitely carry her in a stroller if she does not want to walk.
i have a light weight stroller that i used it for my first born till she was about 5 (of course the later years it was used when we went on trips and there was a lot of walking), and now my second baby also uses it, she is almost 4. i don't know how you can tell a 2 year old that she is too heavy, and how you can expect her to understand?
you can easily buy a good stroller online
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