Best Program for Simple Animations

Adobe has so many great options for animation, I thought I'd ask the community their experience. I've been asked to create an ongoing series of animations (punchy callouts etc.) for instagram/facebook etc that are photo images with text and various graphics that I will probably create the base art in Photoshop and illustrator.

I may or may not add music ands video to these, but am trying to get my head around what each program is best to adopt/learn. I've seen great things created in Animate, After Effects and even Premier, but I wonder if anyone can recommend the best program for 1: A relative beginner to animation, and 2: that won't be too limited in scope as I evolve. (I do have years of experience using Photoshop and Illustrator).

I would appreciate any advice, even if its your general preference/experience and have been able to create similar materials.

Many thanks,

Paulos