This is a really good question. There are two factors at play here. The first is demographics, and the second is location.
There is no questions that Bronxville Village is one of the most desired places to live by buyers. However, it comes at a cost. Prices are usually much higher and the boards much more difficult. It is up to you if this extra costs and agita are worth it.
There are several parts of the Bronxville PO that have different favors. Some are more like the Village, some not. Generally speaking, the closer you are to the Village, the more expensive the apartment. I think you have to first figure out how much you can afford, and what your financials are like. A good Realtor can then help you find the right fit. This analysis may make the decision for you.
The second is demographics. One bedroom apartments are as a generality less in demand than two bedrooms. As a result, regardless of location, they tend to be a little more difficult to sell unless it is an exceptional apartment that is properly priced. There is investment potential in a one bedroom; but past history does not really tell us what it might be over the next few years. Will the Village appreciate faster? Possible. But the cost of getting "in" now will likely be a lot more, which may reduce the overall return.
I would focus on what you can afford first, then find a buidlng that you like, and be guided accordingly. In or out of the Village it is a great place to live.
You have to decide if paying higher maintenance and tax are worth it to YOU to live in Bronxville. That part of the decision is personal.
A home is different than any other investment. You actually live in it. That has to be factored in.
Good luck . If you are not already working with another realtor ,feel free to contact me .
Hope this helps
Legends Realty Group