Saving colostrum?

So I'm 35 weeks and 2 days and I have been 'leaking' since ~17 weeks and was curious when to start saving it. Just sitting on the couch now I started leaking and just for the sake of curiosity I put a bottle under my boobs to see what/how much was coming out 😂 if I can start now I'm going to have my husband and I go get some medical syringes tonight but then my question is how much would you freeze per syringe? I wasn't able to breastfeed my first son due to NO supply and he had very very severe tongue and lips ties that weren't corrected until 4 months so I'm really hoping I can this time. I know leaking during pregnancy doesn't indicate what your supply may be after birth but being able to save anything I can would mean alot to me.

Picture of what was left after I spilled half of it trying to suck it into this syringe 🤦 *also this is a brand new medicine syringe that has never been used*