Cat/pet friendly places

I just moved here and got a new kitten. I feel bad for my cat bc I moved to a small apartment and i don’t want to keep her there all the time. Ideally would like some places she can go to (doesn’t need to walk around i have a see through bag for her). Also it’s cold now and the snow is covering a lot of Omaha. Is there any indoor places that are pet friendly I can take my kitten around?