One is black and white and the other is a medium haired cream colored with brown markings on its face. Can't tell if they are boys or girls, and they look to be 3-4 months old.
The picture of the first one is hard to see properly, so I can't really figure out what color it is... there's very few things to figure out gender on a cat unless you're looking at them as they walk away with their tail raised. If the cats were orange, there would be about a 75% chance they are male... if they were calico/tortie/torbie they'd be female. Otherwise, unless you neuter/spay them there won't be any way to tell gender for hopefully awhile ... because you don't want unaltered cats around.
Do you think these cats will ever warm up to me? Also, do you make it your responsibility to get them spayed/neutered and vaccinate feral cats? Not sure how I would even catch them to do so...
They could become tame. Considering you're able to get pictures of them at all is promising. How long have you been caring for them now?
Check out this link:
Taming Feral Kittens and Cats
At three or four months is a key time to trap and neuter/spay them and tame them. If you wait longer by six months and sometimes sooner they can become sexually mature and they will be harder to tame. If they're female you're almost guaranteed to end up with hoards of kittens and a lot of noise from from the female when she goes into heat. A young cat can go into heat and endanger her life if she gets pregnant, since they're too young to give birth safely and are lacking essential nutrients during a time they should still be growing themselves. Males you will likely end up with spraying to mark territory, fighting, injury and disease (such a leukemia and AIDs which are often contracted from fighting). Females can of course get these diseases too, but they don't as frequently go out and get in huge territorial fights. Another issue is if there are brother and sister cats...
If you're committed to these cats, please trap them with a humane trap, which you can borrow from a local shelter/rescue and then get them spayed/neutered. You can get in contact with local TNR places where they can do it at a low cost or maybe even free for you.
I recently trapped an estimated 6-7 year old cat in the garage, named him Jasper. After a week or so I realised he wasn't neutered and had bite marks on his front leg, I got a humane trap from the local shelter (they just gave it to me, but they know me so you may need a deposit so they ensure you don't disappear with it), set it in the room for a day or two for him to get used to it, then placed a little food in it and set the trap. He went in right away for the food. It's important to wait close by so that when the trap springs your can make sure nothing had gone wrong, like the cats tail getting caught. Quickly go in and cover the trap with a blanket -- this calms the cat and lessens your association with everything -- and as soon as possible go to the vets to get the cat spayed/neutered. Don't let them out no matter how much noise they make in there... they you won't get another chance. They won't walk back in there again.
Some vets if you arrange in advance explaining the situation will say to bring the cat in when you can and of course will recommended to bring the cat in very early in the morning so it can go home the same day. The other option is to set an advanced appointment and cancel if the cat doesn't go in the trap in time. I had to wait two hours until the vets office opened, but he came home the same day. I paid 50 dollars for the neuter, leg stitching, routine exam, two weeks worth of antibiotics (a shot they gave him) and a few days of pain medication.
Jasper is now playing fetch with me and is very friendly and quite gentle (he plays without claws!)... uh, to people he knows.
It took two months of growling, hissing, serious aggression especially with food, some serious bites... but now it's closer to four months and he's a really sweet cat. He's still in the garage, but I'm hoping to integrate him into the house. I'm glad I didn't just send him back outside when we accidentally shut him in there.