Some other ideas for places to go: soft play, play cafe, city farm, museum, art gallery, zoo, gymnastics hall, trampoline park, theme park (e.g. Gulliver's), toddler cinema screenings, inflatables park, library, aquarium, beach, Pets at Home to see the animals, garden centre, running errands together - obviously depends what is local to you and how child friendly the local museums etc are.
You could try to meet other local mums with similar aged children and do play dates in each others houses.
At home: building with blocks, painting, starting role play with toy food or baby dolls or a dollshouse, singing nursery rhymes and making music with rattles and drums etc and doing action songs, filling washing up bowl with bubble bath and some containers etc and doing water play, playing in the bath, Duplo, shape sorters? I'm struggling to remember what I did with mine at that age in the house to be honest. I do remember it being a difficult age. They don't have great communication skills yet, they have short attention spans, their motor skills aren't that well developed etc. Gets much easier as they get older!