I'm not familiar enough with the SNES version, but the main idea is to have at least 2 shields at the start (1 in your center square and 1 in your first cultivated square), so you can produce your first militia and settler twice as fast. You should not search for 'very best' place, because you wasting your time this way and you better simply found new cities in some good places later. 2-3 good squares around your first city is enough. Also it's preferable to found your cities on plains, because you get free irrigation this way. Especially if with horses.
But if you are in Japan, normal strategy of city spamming can be not possible (if there's no any 'bridge' to the main land - in SNES version such 'bridges' happen sometimes). So it's more like One City Challenge for some time, so you should select the best possible place for your first city.
Also 'instant advice' is pretty good for this purpose for novice (though I have no idea if this option has the same name or even exists in the SNES version). It's ON by default on chieftain, but you can toggle it ON on any difficulty. It basically recommends you to found your cities in places where AI would found them.
EDIT: I did look at your picture. I myself would found my first city on the plain tile to the south of the game forest. This way you have enough food and 3 shields at the start and later you can irrigate horses for +2 food and +2 shields from here.