Mommas of two

Hello! I have an almost three year old girl (in February) as well as a almost one year old girl (in January). My oldest has always been an extreme mamas girl, so we were nervous how she would do with a baby. However, she has been great up until about a month ago! Now my ten month old is becoming more and more clingy and fussy with teething, and my two year old is getting very jealous and constantly wanting to be held and fighting for my attention. They scream and push each other and whine for me constantly and it’s driving me nuts! Any advice from moms going through this? They also get super mad and scream if I pick up one of them without picking up the other