3mo old super attached and other kids to care for

Katie

My LO is exclusively breastfed and is almost 14 weeks old. He is always on me. He can last a max of 5 mins just hanging out in a swing or bouncer before he starts freaking out. Sometimes the moment I put him down he starts screaming. He also is constanly nursing. He never sleeps in the day unless I'm holding him and even those naps are extremely short. I've tried putting him in the baby wrap and sometimes that's ok but other times he gets really mad and screams. I try bouncing him around in it to calm him but sometimes he just doesn't want to be in it. I totally get that babys need to be snuggled and fed often but I feel like he is permanently attached to me. I have a 2.5 year old also and it's becoming really upsetting for him because I'm having a hard time meeting his needs as well. Im also on a really limited diet due to babys tummy troubles and I feel like this is all becoming a lot to handle. Idk what to do to make things easier. I tried switching him to formula at some point but even the hypoallergenic formulas were no good for him so breastfeeding is really the only option right now.