My 2 cents:
A lot about your future perception about diving comes from memories from your first experiences/dives. Proper fitting equipment will help improve your experience.
Masks: Your first purchase. Get them at your LDS. If you're posting here you already have good amount of info. Ask the LDS people for assitance to ensure best fitting, Make sure you try a few different models/manufacturers besides what the LDS wants to push to you.
Go for what feels more comfortable, more expensive does not mean better fit.
Ah, and your mask does not have to match your daughter's

(I know it sounds weird, but you wouldn't believe how many times i've seen people getting matching gear at the expense of better fit/comfort)
I'd suggest low volume masks, faster clearing without much effort.
Snorkel: again best fit is critical, since you're newbies you'd probably do quite a bit of snorkeling between dives or in the beach. Mouthpieces look very basic but they can casue a lot of jaw fatigue. That goes for the second stage mouth pieces as well. Again, go for what feels more comfortable.
Fins: I'd suggest open heel. They will serve all purposes. Full foot will work for warm water/snorkeling but as you start diving in colder water or going deeper you'd want to have the termal insulation in your feet.
My current fins have around 400 dives and i don't see replacing them anytime soon.
Fins do not have the critical fitting issue of the mask. So fins online might be OK. With that said, talk to the LDS , they may make a good offer to get all your business.
Good luck with your purchase
CB