Hello Arduino world! This is my first time here and I came because a local friend told me that this forum is very active and engaging, so I thought I'd come by and ask for help. I do not have much hardware knowledge, but I do have skill in wiring and designing.
I am attempting to do my first arduino project, which is a mixture of a digital clock and analog clock in a sort (I know, original right?). Anyways I would like to get it done right so I am here for help.
Now on to my question: I am gonna have a 12 hour 4 digit display of 46 LEDs, but ALSO I would like to have a circular of 60 LEDs around the digital clock representing the seconds (one lighting up past the other every second, till it reaches 60 were they all turn off and repeat). This brings my project to 106 LEDs total.
As of now my idea is to have 2 arduino unos one dedicated to each part (Yes I know this is wrong, but I do not have much knowledge of arduinos which is why I am here). My schematic (which will be roughly posted below) is to have a 5x10 multiplex for the digital clock (15pins used) and then on the other uno have a 6x10 multiplex for the seconds timer (16 pins). Obviously I know I should find a better way than two separate unos.
(This may be wrong and crude so correct me please)

And here is the final design goal

I will reiterate by saying my knowledge of hardware does not go far, so please fellow peers will you steer me in the right direction to be able to drive 106 LEDs on one arduino, preferably in 2 different multiplexes to match my schematic, it'll be so much easier to wire that way. I've heard of 16 channel chips but I have no clue how to use such chips and which would be good. Also if you guys want to give me any information that I am overlooking, that'd be great too!
Thanks again guys, this will mean a lot to me. When I am done I will definitely post pictures, you will be amazed!