hermykne - it was the biggest lesson I learnt with my first that they cry when they are tired! I had no idea! All the books go on about dirty nappies, hunger etc - never that they are plain tired!
Both mine were difficult during the day. Echo what others say - newborns have to learn how to fall asleep by themselves. Use slings, rocking, b/f, bottles, dummies, carseats, prams (!) - whatever to get you through those first few months - it's better to have a happy sleeping baby than a fretful baby and you!
I found pickup/put down a life saver for DD2 and more "kind" (to me!!) than CC and works even in the early weeks. It's tiring, but the jist is, you pick them up when they cry, settle, then put straight back down - the moment they are happy. If they cry, pick up again and repeat as necessary! You may have to do this umpteen times (and then some) but if they are yawning they eventually give in, and evey time you settle them, it takes less picking up and putting down. If this makes sense?
This worked for daytime naps, evening bedtime, and stopping that last 5am "wake for comfort feed" for me.
Hope things get better soon. But they will, rest assured.
BTW - I did CC with DD1 at night time, and it took preceisely 2 evenings before she was putting herself to sleep at 7pm evey night! It was just harder to do, cause of the crying!