Help with scooter choice: Used from 125ccm

Hello dear MotorTalk community, I would like to introduce myself just before I ask my question. I am the Flo, come from Passau and am a young 39 years young. I already read with a time and have now signed up here with me. I liked the wide list of this forum very much and also the members all seem very nice. Now to my question. Since my wife is pregnant, I would like to leave her the car home now and for the work path, shopping and occasional Über In my research I have come to the conclusion that a 125 is sufficient and the upper limit is about 300cc. Since I have workshops of the brands, BMW, Honda, Peugeot, Kymco and Piaggio in the near surroundings, I have also reduced myself to these brands in the search. BMW flies out due to the prices already. I have up to 1600 euros left for a scooter and Peugeot must have slowed down qualitatively, whereby the Satelis comes as pure from the space already there, as I imagine. With Honda is possibly a good used S-Wing still in the budget. Here one reads a lot of good, but the 4000 km service intervals scare me off somewhat. Is that still timely? For that probably already has a combination ABS. At Kymco one probably has price-performance technically The K-XCT seems to fall into the frame of the used ones in price. I am not exceptionally big with my 1.83m and should have little problems in terms of space. Since we don’t live in the lowlands, the scooter should have at least enough punch. I don’t have to be the fastest, but the scooter should at least not starve on steep mountains. Since I haven’t driven any scooters since my old PX125, I also have relatively little idea from what f I have to pay attention to the purchase. Maybe you can help me here, say something about my selection, or have still models on the screen. I have tried to read through the forum. Here there is a thread that has been closed but and otherwise some that are at least two years old. If I have forgotten anything, I can’t wait. Greetings from Passau