Maybe you could start by finding out what teachers are available in your area. Music stores can tell you this if they are not listed. You could probably work at picking up the piano on your own, but violins and cellos need tuning and you would need a teacher to master that at least. If you find out there is no cello teacher in your area then you can likely rule out that one as the least practical.
You could also look into buying your instrument -assuming you don’t already have one, and make your decision from that. Can you get a good quality piano? If so, can you get it moved to your home and do you have room for it? What will your neighbours say if you start practicing for two twenty minute sessions every day?
When you say piano would you be just as happy with a decent electronic keyboard? It has no pedals and the pressure on the keys doesn’t change the volume but you can learn fingering.
An electronic keyboard would be your cheapest option. You could probably get one new for around $100 or $150 US. Because it is not a huge commitment this might be a good way to start. You could learn some basics on the keyboard and play with it for six months. If you stick to it and make progress then you know you can trust yourself to invest more into this project without it being wasted. You’ll also know if piano fingering is something that you find relaxing and feels right for you body, or if it is awkward.
Serious violinists often experience some hearing lost on the left side. But it is unlikely you will be come such a serious violinist as to have a problem with this.
(I’m not an expert here. As an adult I learned to play the recorder since I had missed getting a musical education, and I had great fun doing it. But the option I picked had to cost me essentially no money so I got the instruments for free, and my sheet music as free downloads off the net.)