Fennie,
I am not stay home mum but i also struggle with what to do with kyler on weekend. That's why i am always out.hehz...)
what i do when at home:
1) sing songs ( 10 little indian boys, old mcdonalds, twinkle twinkle little stars etc)
- with big actions and that will catch his attention
2) read a cloth book (he only has one. haha..)
3) play peek a boo
4) teach him hi five
5) put him in his pram where he can sit and tell him what mummy is doing-when i have to do housework ( eg. hanging clothes, boiling water- explain to him sound of water, the fire is hot) etc
6) bring him for tour at home ( talking n showing him things)
7) let him lay on my bed, supervise him as he attempt to crawl, flips etc)
8) at my mum's place( put him in his exersaucer,he delights in it)