I had a great time with my son at this age. They are really into exploring everything and can be occupied by lots of things that are new experiences to them.
Some things I did with my son at home: fill his baby tub with water and throw in some cups and toys and let him sit outside it and splash around (this is messy so I did it in the kitchen with towels on the floor). Same thing with a big bucket of dried beans and scoops and cups. I had a whole wall covered with paper in one part of the house and he could scribble all over it (better if yours is walking and standing). Also I put together some "busy baskets" of random things that he didn't get to play with all the time so he was always intrigued when I brought them out. These were easy to fill- egg cartons, toilet paper/paper towel rolls, balls, ribbons, bubble wrap...anything interesting.
All of these activities require supervision of course.
We also went on outings that are more suited to older kids but that DS seemed to enjoy just fine- zoo, library/book store, aquarium shop, playgrounds etc.
As for a schedule- we always had (still do) a pretty rigid one because DS just operates much better that way. So we had set times every day for outings/errands, outside time, play groups- and I found it easier to just do some things at the same time every day- reading and snacks before naps, outings at the times he was rested and fed etc.
Oh I miss those days- everything seemed so much easier than it is now! Enjoy!

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