You may be in the market for a handle bar bag. This is the one I use right now: https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1

Wallet, keys, phone, body wipes, sizable first aid kit all fit in there with some room to spare.

The webbing on the side isn't huge but some smaller canned drinks may fit in it (Redbull type). For me, it just carries bug spray and sun screen spray, if anything. There are smaller handlebar bags out there, mind, that's just the one I use.

I also have a seat bag: https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1

That has a far larger drink holder, and will also carry wallet, keys, and some models of phone. For me, it's tool storage right now. Can fit a Propel bottle in there (and those Pure Leaf tea in the square bottles), and if the pictures are anything to go by a regular water bottle as well.

Pannier and racks can range in weight - some are solid steel rods and do weigh a bit. Some are hollow alu and don't weigh much at all. My small-wheel folder isn't noticeably heavier with my rear rack and its small bag, really.