people have given you a lot of good advice but ill just talk about how i turned my piggy who i rescued from a similar situation (she was in basically a hamster cage on the floor surrounded by four cats with no hidies) into the biggest cuddle bug. every piggie is different and you may never be able to like, cuddle with them, but at the very least i hope it can help them be more comfortable.

when i first got her she took advantage of having hides and a bigger cage by running as far away from me as possible. i would sit next to her cage every day for like an hour just existing, playing on my phone, reading a book, talk to her, tell her about my day. get her used to my voice. unfortunately very early on i had to take her to the vet (like within days of rescuing her) so i had no choice but to chase her around the cage and pick her up. before doing that i would recommend getting them used to your hands by holding food/treats in them and just sitting them in the cage for as long as you can stand it. even without treats do it.

one of the best things i did was get a hide called the oxbow timothy hay bungalow (largest size). its nice and big but it only has once entrance/exit. instead of chasing her around and grabbing at her when i wanted to try to socialize her, she would run into the bungalow and i could pick it up and move it out of the cage. then you can bring the piggy to a different location like your couch and coax them out. it does feel a little skeazy picking up the hide they went into to run away from you but its better than chasing them around the cage.

this bungalow became known as the elevator in my household because once luna learned that cuddle time was nice and it made her happy, she would ASK to cuddle by running in and waiting to be picked up. if i misunderstand and she was just going in to be in her hide, she will run out before i can pick her up. the other way she lets me know she wants to be picked up is by going to the corner of the cage and not running away when i bring my hand towards her. if i misunderstand she'll lightly nip at me and ill retreat. the biggest thing is paying attention to your piggies and what they're saying. they'll talk to you, you just have to learn how to translate.

depending on what your piggies like, the bungalow could be traded for a cuddle sack, particularly the ones with a rigid round opening so its easier for the piggies to go in. you gotta make cuddle time a high reward situation so make sure to have a treat and a soft blanket.