For what you have described and with large hands a 5946 sounds perfect. If carrying it concealed was an issue, then perhaps a 5943 (alloy frame), but I do like the all steel guns. Once you have one you will probably want more anyway, so perhaps it doesn't matter exactly which model you get.
Since this is a first for you, I have a suggestion....pay extra to get a nicer one and not one of the many police trade ins out there. Or at least try to get a really clean police trade in. There is nothing wrong with most of them and many don't look too bad, but if I were in your position I would want a really clean gun.
For me personally, I would look for one of the later round trigger guard guns. I think they look better (but that's entirely personal) and it can be a bit easier to find holsters for them.
If looking for a more recent polymer gun then I gather the S&W M&P series are nice. I just happen to like the older metal guns.