My advice is not to worry about expressing for the month - use that time to focus on getting to grips with breastfeeding. You and baby might have some issues to begin with (tongue tie, latch/positioning, other) but even if you don't it's a good idea to take the pressure off and make sure your supply is good and baby is feeding well.
As a first step I would suggest using a Haakaa pump (or similar) which you can pop on one boob while baby is feeding from the other. You won't necessarily get huge amounts of milk (sometimes I got a decent amount, sometimes barely anything) but it's very low effort and doesn't take any extra time. Just watch out for a wriggly baby knocking the pump off your boob, or knocking it over when you've put it down (I did one cry over spilt milk
) If you and your DP wanted, he could use the milk you've expressed this way to try introducing a bottle, and if this works he could continue doing so occasionally. Personally I think 4-6 weeks is a good age to try this.
If you're anything like me you won't get huge amounts from a Haakaa but it's still helpful for baby to get used to taking a bottle.
Then if you want to do "proper" expressing to get higher volumes of milk, you will need a double electric pump, as it's the most efficient way. You could hire one, or if buying second hand, make sure you buy a closed system pump (not open system which cannot be fully sterilised). I used the Ardo Calypso which is a closed system double electric pump. I used it during nap time or in the evening, and I also used it when I went back to work (this was helpful in the beginning to avoid engorgement and discomfort, and keep up supply a bit, although my boobs did settle down and I was able to reduce and then stop expressing at work).
Expressing does take extra time and effort and I would say it's definitely worth it if you want to give yourself a break (for a longer stretch of sleep, a few hours to yourself away from baby, or a date night) without using formula. But do consider cost/benefit and don't put too much pressure on yourself. I did get frustrated when I tried to express and didn't get much.