recommendations for things walking distance from Hotel ZaZa in museum district?

We’ll be staying at hotel zaza labor day weekend. Aside from the museums, what are some things to do within walking distance? Any recommendations for restaurants/cafes/shopping we could easily walk too?

Lastly this might be a dumb ask but is Hermann park easy to get to from there on foot, as in are there crosswalks/sidewalks, or would we have to run across traffic? Lol I know there are some that lead all around the park but I can’t recall if i’ve noticed any leading from the side of the street the hotel is on to the park side & houston drivers on that roundabout are pretty intense 😅