Need help getting ExBF 12mo to drink milk and other liquids

[eversomuch]

DD recently turned one. She's ExBF and still feeds after breakfast and before bed, after lunch if we're home for her pm nap, and during the night if she wakes up, which is only occasionally now. I'm happy to continue BFing as long as she's interested, but I would like her to start drinking more water and start to drink milk.

She drinks water during the day, but not much maybe 2 or 3 ounces max and she has absolutely no interest in drinking cow's milk from a cup or bottle (though I do sneak it into her breakfast cereal/porridge, and she also eats loads of natural yogurt and some cheese).

I've tried several different sippy cups, trying to get her to take milk, but she just won't go for it. Any suggestions would be greatly appreciated!

Have you tried warming the milk?

Yes, I've tried warm milk as well as cold. She just pushes it away.

Hm. How about trying different times of day? Might be that she just isn't thirsty / hungry the times you've tried?

My DD (11 months tomorrow) isn't that impressed by cow's milk in a beaker, also excl-BF (apart from all the solids, obviously!). But she definitely prefers it warm, and sometimes I think she just isn't that thirsty / hungry, as she eats enormous portions of solid food at her mealtimes. (Oh, and I know they aren't meant to have cow's milk as a main drink before 12 months, and she's only 10 months...)