Nuk bottles work well - I think similar to hospital ones, certainly our hospital - amazon or mothercare/boots.
In terms of pump - has the hospital got a breastfeeding support person? Did they help? As they may be able to lend you one -
In terms of Renting a machine I don't know but NCT may be able too (rings a distance memory).
The manual pump may start to work, very hard to say but just relax and when boobs are softer try - or opposite when you feel full try then.
I got a cheap manual of amazing again a NUK not perfect but it did work and was only £30 rather than some that are a fortune.
In terms of latch does it feel better? My LO has a poor latch, they thought it was tounge tie - sent to the clinic for a snip and it wasn't just a small mouth and a consultant later said a smaller jaw so struggled to open wide enough - so expressed and fed and it took a while but nipple shields were super helpful in preventing pain and helping him open wider - and switch between bottle and me. So would recommend those, probably used them for 6 weeks or so, but they were the game changer in how I felt about the next feed when latch was sore.
Netflix, skin to skin & feed at any opportunity - in the day wake if sleeping more than three hours to get the milk in - as sleeping becomes a bit of a cycle if not fed enough etc.
Push hard for BF support and ensure MW using same scales etc as it can be variable if that first weight was a bit off -
Hope today is a better day & congratulations, special times.