I don't know how wonderful my advice is, as I have not had any hamsters in YEARS, everything else though. LOL I used to raise them years ago.
I think your on your way, if they have their eyes open and are getting around, thats awesome.
As far as the water bottle, I would make sure they drink what YOU give them for now.
When they get a little more active and walk around more then you could hold the bottle to there mouth and make some water comes out, if you know what I mean, to get them started, in knowing whats in there,
I think in time they will find it if you have it low.
And If there was ONE thing I remember BEST about raising hamsters was YES, they are escape artists. The adults escape. 
I can't see your cage, but if the wire is wide enough they will get out. So that question you will have to answer by looking at them and the size of the wire openings.
Just keep your eye on them, if you notice one wriggling through, get yourself a cheap aquarium with a screen lid for the time being. Or something escape proof! 
Oh isn't it fun having little ones, hahhahahahha, make ya crazy hunh?
Watch those little cute stinkers, hehehhehe
Thanks for the update, see ya tomorrow!
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Eve