Six months is a cognitive and motor explosion. Your baby is likely sitting independently (or very close), reaching for and manipulating objects with both hands, transferring objects between hands, and showing early signs of crawling (rocking on hands and knees, scooting backward). They may also be babbling with consonant sounds ("ba," "da," "ma") and responding to their name.
Starting solids is the other major milestone. Your baby's digestive system is now ready for foods beyond milk, and the introduction of textures, flavors, and the mechanics of eating is a significant developmental step. For sleep purposes, the key is timing: offer solids during wake windows, not right before sleep, and expect some digestive adjustment in the first week or two.
Increased object permanence means your baby now understands that things (and people) continue to exist even when out of sight. This is why peek-a-boo becomes hilarious at this age — and why your departure at bedtime can trigger anxiety. They know you're out there somewhere, and they want you back.