Hi JessRiley96,
I'm sorry, honeypie, but you'd be a very lucky mommy if your 1 month old baby was 'sleeping through'! Mine didn't sleep through until 4 y/o!!
Babies have growth spurts around 1 month and 3 months old - expect to be really knackered at those 2 stages and be comforted that everyone else (even those following super strict routines and controlled crying) has to go through exactly the same!
The rest of the time, what will help is limiting daytime naps (easier said than done), encouraging 'self-settling' (so you don't have to run to him as soon as he stirs), starting solids a bit early and - if it's something that suits your parenting style - strict routines.
As you've mentioned a bottle, I assume you are using formula milk? You can get slightly thicker formula for the last feed of the day (before you put him to bed), which stays in the tummy a little longer than regular formula. Food doesn't really help until 3-4 months. At that stage, you could try encouraging him to eat some baby rice (mixed with his usual milk) before he goes to bed. Just like the thicker formula milk, it will keep his tummy fuller for longer so he doesn't have to wake so frequently.
If you manage to coax him into a routine, blackout curtains and night-lights can help him to understand the difference between daytime and night-time. When it's bedtime, you put up the blackout curtains, keep lighting to a minimum and, when you go in to settle or feed him, avoid switching on the main light. If he's willing to use a dummy, those can be really comforting (babies love to suck anything) - get glow in the dark dummies! It'll give him a chance to find it himself, when he's in his crib. (In fact, stick several in his crib!)
The round-the-clock feeds will not taper off, until he's past the 3 month growth spurt. :( When they do, try doing 'dream-feeds' - that's where you pre-empt the night-time waking by feeding him at a designated time (say 11pm or even once in the evening and once in the morning) when he's still half asleep and dosy. ;) The principle is: if they don't fully wake up, they'll drink their milk on autopilot and go straight back to sleep. Well... that's what it's supposed to work like!
Hope some of these tips help you! And, please remember, you don't need to have a perfect home right now. Babies (and small children) simply don't notice the mess and adults will understand that you are caring for a baby! As you have just one child, you can try and have catnaps whenever he's napping too. It won't help with the sleeping-through at night... but it will help with your energy levels. xx