Health - Make sure you DC is well, putting on weight properly and has no health problems.
Expectations - Remember, you cannot expect your baby to know that night time is meant for sleeping and day time naps are important.
Do not expect anything like this from your DC in the first few months. Just go with what he does and don't beat yourself up about your 5 week old not sleeping through the night yet.
YumYumInMyTum - A baby so young will only sleep a little at a time, especially if he is BF.
This is because breast milk digests a lot quicker, therefore baby gets hungry sooner. It could be a good idea to see someone about your baby latching on properly. If baby isn't latching he will only be getting a little bit at a time, which means he will constantly be hungry. Which also means you will both be exhausted from the effort of feeding 24/7!
If your baby is feeding constantly, irritable and always dropping off while feeding, there's a chance he isn't doing it right.
Have you thought about expressing your milk so that other people can feed your DC? This could be key to getting some much needed kip!
If your DC is FF, you may want to check that they are not lactose intolerant, as this can contribute to them not sleeping properly due to an upset tummy. Some babies just don't get on with formula and a lactose free option could help for a few months.
sometimes it's as simple as changing the milk to help you DC sleep better.
Co-Sleeping - Do you co-sleep? If not, what are your reasons and would you reconsider? IMO it is the best way to get any decent sleep at night. It's perfectly natural and safe if you follow the safety guidelines for co-sleeping, even with a tiny baby.
If you and baby are getting a reasonable amount of sleep at night, it will be so much easier to tackle the day.
Sling It! - Oh what a wonderful invention the sling is! Wrap slings are brilliant for you and your baby, who can get some decent naps in the day (which helps for better night time sleep) and you can get some hoovering done! It's also great for bonding, wether it's with you, dad, granny etc.
The Moby Wrap is my best friend!
Swing It! - Baby swings and bouncers do keep a lot of babies content and sometimes they are the only things that work, so look in to it. Another contraption is the DreamRocker - a platform that you can place the pushchair/carseat/moses basket etc on and it rocks back and forth.
There is also the MamaRoo Swing for those willing to spend a lot of money for 5 minutes of peace! I must admit though I would quite like one of these.
Remember as baby gets older it's a lot easier to plonk them in a bouncer/on a mat for 20mins to give you a bit of time to do other things.
One thing I found that keeps my DD happy for ages is a toy by a company called Lamaze. It's a little fairy doll and we take it everywhere! Definitely worth the money as it puts a smile on my DD's face every time without fail :) I think this is because it has big black and white eyes and black and white patterns on the wings. There's a whole collection of them, too.
OotAndAboot - If you feel like you have the engery (ha ha) and want to face the world, pop baba in the pram because, as we all know, this helps them sleep. It also helps you get some exercise to shift the baby weight.
The car is also a miracle worker, but some of us don't have cars and some of us are too sleep deprived to be thinking about driving!
Help - One of the most important things is to get people involved, wether it's daddy (who should be running around after you anyway!) granny, other family members or friends. Do not take this on by yourself.
"It takes a village to raise a child"
The dreaded C-Word - If you think your baby has colic then I suspect you have tried most or all of the above.
One thing that has helped me is Infacol and believe it or not, the trampoline in the garden.
There's also Gripe Water, Massage, and the knowledge that most babies grow out of it around 3 months or soon after.
Mmmm...Vomit - If your baby has reflux you'll know it, and I believe that propping them up to sleep can help, or just generally keeping them upright. Your baby could also have silent reflux. If you think this is the case go and bug your doctor until he gives you something that might help. It's always worth a shot.
The single most important thing IMO is to always trust your instinct. We as mothers should pay attention to our childrens needs and as time passes, we learn more and more about our babies and how to comfort them properly. In return, our babies learn to trust us.
Remember in a few months the fun will really start and this will all be in the past! For now though, you get some much needed advice from this thread and remember, it is advice and suggestions, personal opinions and not orders, solutions or guarantees.
The things i've suggested have come from personal experience but I hope some of these things work for you!