Unlike a pp, i do not recommend My Expert Midwife. Gave me the most dreadful thrush, which is not what you want at 34w. So use at your own risk!
We don't have a car (we are in London) so we couldn't do a lot of the tips about leaving stuff in the car to grab later. Instead, I was a bit of an overpacker, but I had a 5day stay so it ended up for the best really.
DD1 - didn't eat anything special (bought some raspberry leaf tea but I didn't use it), had hospital bag partially packed around 37w, tried colostrum harvesting and pretty sure it triggered my waters breaking. Finished packing my bag after waters went and headed straight to hospital. DD born at 38w and had a stay in NICU. The midwives were amazing at supporting colostrum harvesting to take down to the neonatal unit so don't worry too much - they will help you if they think you need it.
DD2 - had hospital bag packed from 36w. Didn't do any perineal massage as I had a c section scheduled due to DD being breech. When I went into labour, she had turned head down so I decided to switch to a vaginal birth. Didn't do any colostrum harvesting this time as I didn't want an early labour due to the breech position. I had preeclampsia with DD2 and was having bloods and monitoring every 2 days, so I also had a rucksack with a few bits in that i took to each appointment from 36w, so if I was suddenly kept in, I at least had a phone charger, PJs, spare knickers, headphones, etc until DH could arrive with the main hospital bag.
Agree about taking your own pillow. V handy if you are planning to breastfeed. Also, packing cubes are your friend - one for baby, one for pre/labour, one for postnatal etc.
If you know roughly what centile baby is tracking, make sure you have the right clothing bits. Our 36w scan showed that DD1 had dropped below the 10th centile - she was only 5lbs 12oz when she was born and DH had to pick up a few tiny baby things on his way back to the hospital one day as newborn absolutely swamped her. We should have thought to have some tiny baby bits in the bag after the 36w scan.
Also pack sliders instead of flip flops. I had to wear dvt stockings after labour and it was really annoying that my flip flops had the toe divider bit in!