I'm thinking of Settling 1S as this would give me more river tiles, but should I SIP
If you look carefully at tiles just inside the fog of war, you can get some information about what sort of tile it is. It won't tell you if there are
resources on those tiles, but it's still useful - particularly on turn 0 of the game, as the first few turns are so very important. This is called "fog-gazing," and is a useful habit to get into on turn-0 when considering where to scout or settle. So for example just by fog-gazing I can tell you that settling in place is going to give you riverside grass tiles at 1N2E of the settler, 1S, 2S, and 1S2E: 4 riverside grass tiles. Moving the settler 1S gives up the grass river 1S (you're putting the city tile there) and the grass river tile 1N2E (moving out of the radius); the only clearly riverside tile you pick up (2S2E) is a plains-river tile (you can see the color at the edge of the fog of war). You don't actually get more useful river tiles; you get
fewer useful river tiles (plains tiles without resources, other than
sometimes plains-hills, are generally worthless junk tiles until fairly late in the game even if they are riverside). As a side note, I can also tell by fog-gazing that moving the warrior NW isn't going to reveal anything useful because there's three forest tiles bordering that hill; that's all he'll see. Similarly with moving him NE. SE onto gold or SW onto pigs are the only warrior moves that might reveal anything here; I'd go with SE onto gold.
Moving on to the second point: think small when settling early cities. You're concerned mostly about how good they are at, say, size-5 - stuff they can do at size-10, 15, 20 is so far in the future that it's not the big concern. The concern is something that will help you quickly get out your next couple cities, get key early techs, get your early workers going, all the stuff that's going to happen soon and long before the city has grown to a huge size. The power tiles for this capital, looking at the opening screenshot, are in order: pigs, plainscow, gold. Then you've got four riverside grass tiles, and a plainshill, all of which are decent tiles to work. And after that you might want a couple scientist specialists. That gets you up to size-10,
way past the early game. There's no need to get more decent tiles; the only reason you'd move would be for an immediate, tangible upgrade. Even if moving south gave you
five more riverside grass tiles (instead of losing you two, like it actually does) you wouldn't care much - sure, something you might do if there was literally no cost, but not at the cost of spending a turn moving the settler.
On a similar point regarding thinking small and fast returns, if you settle on a tile that gives 2 hammers then your
city tile produces 2 hammers. This is very often a power move - it means that the city at size-1 can generally be producing 5 surplus food+hammers per turn instead of 4, which means getting a worker in 12 turns instead of 15. So spending one turn to move onto a plainshill, in exchange for saving three turns building your first worker, is very often the correct move. In this case it's less clear because you'd lose that gold tile, which is a pretty nice one for your early commerce. If you saw a valuable second city around the gold sharing the pigs with the capital it's something you might consider; moving the warrior SE onto the gold would reveal enough surrounding terrain to probably judge if there was enough useful stuff in that region.
Long story short, with no more information I'd settle in place. Depending on what a warrior scout onto gold revealed, I'd be weighing either settle in place, settle 1W and put my second city somewhere like 1S of gold (share pigs with capital, grab the gold, if there's tiles worth working around there) or
maybe consider moving the settler 1SE onto the grass forest if the warrior found something unusual.
Worker-first is almost always the right move on non-coastal starts, and it's going to be the right one here. The first priority in tech is usually whatever will improve your biggest food-surplus "power tile," which is the pigs, so Animal Husbandry first here makes sense (there are times, for a pasture or work boat resource, when you maybe don't go that route... but Egypt starts with Agriculture, so Animal Husbandry is straightforward to get here and the right move).