That's going to make about a 1.100 wort which is much too strong for a starter. The yeast will die as the alcohol increases. 1:10 by weight is a pretty standard ratio. 500ml of water to 50g of DME is more like what you would want.
A 750ml wine bottle would hold the volume of starter you are proposing, but it's not a great container for it. I use mason jars. The are easy to pour things into, and you can tighten the lid and give it a shake to aerate. If the top is left just a little loose while the yeast cultures the gasses can escape and not much air will exchange so the chance of contamination is low.
Almost any container that has a lid that can seal and a wide mouth works well.