In reply to kmsands:
I don't know the area, but I do a bit of sea kayaking and have a copy of the guidebook here. (The Pesda Press "50 Great Sea Kayak Voyages" one - the Mawddach Estuary between Barmouth and Penmaenpool Bridge is in there as an easy-going beginner-friendly trip.)
In general - first of all it's a tidal estuary, so don't think of it as going down a river because it might not be flowing in the direction you expect! You would probably want to avoid it if it's windy anyway, but any time the wind is opposing the direction of the current things tend to get a bit choppy.
According to the book, the flow under the bridge at Barmouth can reach 6 knots on a spring tide (and the tides over easter are quite big), so you'd want to avoid going through there at anything other than pretty much slack water. (Low tide essentially - whether you're just setting out to head inland on the flood, or just arriving towards the end of the ebb.)
Elsewhere in the estuary flows reach a maximum of about 3 knots, which is pretty gentle but enough that you'd struggle to make much headway trying to paddle directly upstream against it.
The book says that despite it being reasonably sheltered, conditions in Barmouth harbour can feel a little intimidating to beginners - so their suggested alternative launching/landing site at Porth Aberamffra seems like a good shout if you did want to avoid the bit under the bridge. (Just a bit inland of the from the sea front, there's a big layby on a bend in the A496, opposite the access road down to a slipway. Doesn't mention any access issues, but it's always a good idea to play nice and be careful not to get in anyone's way if you drive in to offload the boat.)
The sand banks are firm and walkable-on apparently. (Good news - this is not always the case elsewhere and estuary mud can be very unpleasant and even quite dangerous). But fairly obviously if you find yourself running aground while the tide is falling, you don't want to hang about too much or might end up having to carry your boat a ways. On a rising tide it's all a bit more forgiving obviously, as the water will be getting deeper.
The tide up at Penmaenpool Bridge turns about half an hour after Barmouth it says here.
Regarding waves on the beach, I think your best bet there would be to check out the Surflines (formerly Magic Seaweed) forecast a bit closer to the time:
https://www.surfline.com/surf-report/barmouth/584204204e65fad6a77090ca?view...
Ping me an email if you like, and I could send you pics of the relevant bit of the guidebook. (It's only a couple of pages.)