Dr brown bottles 😩

My two month old will only take dr brown bottles but when I take them with me they end up leaking all through my diaper bag!! 😩 even if they tip over a little on the couch or are uneven at all they leak into the cap and the cap leaks it out. Anyone else deal with this?! Im sooo annoyed with these bottles. My first too advent bottles and I had no trouble with them. This baby is picky and barely takes the tiny dr brown nipples. What do I dooooo?!?!?!