How to bake cake and pastries without oven

Yes.

It's much more fun to cook with gas, and the way I see it, any incentive I can provide for myself to cook good food at home is a major net positive in quality of life.

The setup I have is three gas burners and one electric stove top element, and an electric oven. The electric stove top really comes in handy when reducing stocks or making long-cooking soups and stews, and it can significantly reduce the amount of gas you use in cooking.

For oven I would definitely go electric. See the When baking is it better to use a gas or electric oven question.

I have one 5 kg liquid gas bottle stashed under the sink, and it lasts 3-4 months of heavy daily cooking for two, maybe 6 months in the summer when I eat more salads etc. In addition I have another 2kg bottle for backup if I run out of gas in the middle of cooking, and for the day or so it takes me to haul another bottle from the store. Having a smaller backup bottle doesn't waste too much space.

I've been considering upgrading to a 11kg composite bottle, which I expect to last 10 months to a year, and it's way more economical. So far though the convenience of having a smaller bottle I can carry to the store for changing without a sweat has been great.

We have recently remodelled our kitchen and moved from a gas hob to an induction hob. In general it cooks much the same as gas and you get similar levels of control over the temperature. One style of cooking that is not recommended is 'slide' cooking as this will likely scratch your hob surface - this can be mitigated by putting a piece of parchment paper under the pan or lifting the pan off the hob. we don't use a wok and can't see how we could with our hob.

The surface of the hob gets hot but not as hot as it would it it were gas or electric this means that spilt / spattered food doesn't generally burn on to the hob surface and it is much easier to clean.

The hob is touch control and so far we've not had any problems with this. If you lift a pan off the heating zone it will switch itself off automagically after a certain amount of time. Before this happens if you put a pan back on the zone it carries on cooking. If there are no pans on any active zones then the whole thing switches off after 2 minutes.

We chose a NEFF Flushline hob that sits in a natural black granite work surface and the whole thing is positively beautiful and a pleasure to work with.