I am right handed and left eye dominant. The best advise I can give is when using a traditional scope try to keep both eyes open. Choose a scope that has a forgiving eye box, and stay away from using the highest magnification (which typically makes the eye box / eye less forgiving).
I have successfully used a red dot (technically a reflex dot) on low powered spring guns. One thing you'll want to look for is an optic with multiple dots or reticles for holdover. Because chances of a squirrel / target always being at the same distance is slim. And as you'll find a pellet can drop quite a bit after your zero points.
Another thing to consider is that spring guns are notoriously hard on some optics. Make sure your optic is "spring gun rated". I use a small
Hawke scope with
Sportsmatch rings on my springer.
If you're just shooting squirrels at say less than 50 yards you don't need much power. A low to medium power spring gun will suffice.
Pyramyd AIR has a great tool to help you find what you need
Here's a link to the tool
Step-by-Step Buying Guides | Pyramyd AIR
www.pyramydair.com
and a link that I narrowed down to spring gun for pest control
Shop quality air rifles for all purposes, from hunting to competition. Expert advice is available to find the best air rifle for your shooting style.
www.pyramydair.com
Keep in mind this thread was created in the Optics forum. For more Spring gun advice try starting a thread in the
Traditional forum -Michael