arduino selection and forward progress

So I have taken on this project of making a shift box. I have gotten a lot of help on other forums but feel the rest of my questions are best asked here. Aside from one last look at my diagram and how to setup a single digit screen I am really not sure what arduino would best suit my application. I'll upload a picture of my progress. Here is a bit of explanation. There are 2 user inputs and one for the tach signal. There are 4 outputs, two solenoid controls that are turned on and off to engage each gear, and a pressure regulator solenoid that is normally pwm controlled, and a small screen to indicate the active gear. The tach signal input is used to program in a safety so its not downshifted at too high of an rpm. I am not familiar with how to setup and operate a simple screen. Any in put would be awesome.

Not enough information, not sure if you’re asking about a display as well. Pretty any Arduino would work but...

Being used where? (Auto, motorcycle, rv, farm tractor)
Direct daylight?
How big?
Displaying what? Just the current gear?

Your schematic with the four switches and two resistors makes no sense, why would you want 10k in series with a digital input?

Thank you, and so sorry for the vague description. This is my first project so I'm not sure how to describe it. It will be used in it's own enclosure, in a car, not in direct sunlight, and size is not an issue. I need something that will run on the regulated 12v im supplying my carputer and has enough digital in/out pins for what I need. Perhaps what I'm asking there is a place to find technical data on each model. It's just for track use as manually shifting an automatic every day is a terrible idea. Upon looking at the screens I realised that they have one input for each light with one ground and are much easier than I had anticipated and dont really need help with that. They will only be used to display the currently selected gear. I assumed the resistors paired with the capacitors where needed to negate switch bounce as I dont feel like coding that in. I just made what I assumed a filter would look like and guessed the value. I asked about it because I have no experience designing something like this.