Sorry to go counter the previous poster, but I would go with the first school. Personally, my number one concern is funding followed up closely by research alignment. I believe I read somewhere that only 50% of those who start a PhD finish it, and a lot of that has to do with the financial constraints, especially later in life. Also, I have heard that many people prolong their PhD due to other activities (TA, RA, etc.) that they need to complete that take time away from focusing on their thesis work. I think if your goal is to work outside of academia and you have professors at the first school who align with your research interests and seem to take an interest in you, go with them. Having a stipend, you are not forced to do an RA/TA ship and you can go all in on your thesis. If you want to go into academia, then the second decision might be better.
Additionally, being far from your homebase is something to consider. A PhD is a long journey and perhaps being closer to friends and family for emotional support may be helpful. For the second option, make sure that your quality of life will be good in this city because that can certainly affect your overall experience.
Just FYI, I am biased in my opinion because I was in a similar dilemma and chose the first option.