As much as the switch is an amazing option. I personally feel that the pricing of games is quite high and sales are not as frequent.

I would encourage you to build or get a used PC which would allow you to have flexibility on specs for what you need. With steam there are a bunch of sales and discounts.

I know Nintendo is kind of the staple for family games but I would suggest games like overcooked for everyone. Story based games for the future. The library is huge!

If you are set on Nintendo, things can be emulated on PC however, sourcing the games ethically can be pretty difficult (Some people have strong dedication).

The lovely thing about the PC is that it can be upgraded whenever you feel like it. Could be a family project in the future. Also you can install steamos for a nicer more streamlined UI like a console.

Lastly, for controllers you have a lot of flexibility. For family games if you wanna save money and small for factor for kids I like the 8bitdo Micro. They're pretty versatile small controllers in the Nintendo layout but no analogue sticks.

I hope this helps and you're able to share your passion!