There are many threads on the issues we Americans face in Switzerland - just do a search of 'US person' or American in the tax section, you'll find discussions covering many of the basics.
Contrary to the experiences of many, banking has not been a problem. We have accounts and a mortgage. No one ever blinked on seeing our blue passports, it's really been a non-issue. But then, we had those accounts pre-2008.
There are some investments here we cannot make as US citizens, to simplify our lives we invest most heavily through our US-side advisors. OH got kicked out of his company's Pillar 3 plan, as the the fund invests in things that are verboten for Americans, so they didn't want to deal with us. Not much of an issue, though, as Pillar 3 doesn't help us much (see the tax stuff below.)
For us the largest issue is our US tax burden. Yes, there are ways to reduce that, but nonetheless (individual circumstances aside) you can find yourself paying a painful chunk to Uncle Sam. Our US taxes are higher than our Swiss taxes, so deductions on the Swiss side are of limited use for us.
One thing that hurts us is the way pensions are viewed by each side. The US does not consider the Swiss pillars as qualified pensions - meaning that not only do you NOT get any tax relief on money that goes into your pension, but instead BOTH your contributions to Pillar 2 AND your employer's contributions are taxed as income in the year the contribution is made. So you are taxed each year on money that you cannot access.
When it comes time to retire, you have another issue: You have already paid your US tax on Pillar 2, thank doG - but not your Swiss tax so that remains due. But your Swiss pension distribution isn't considered earned income by the US at that point.
All in all, our combined tax burden is a little higher than if we still lived in the US, and significantly higher than if we were living in Switzerland without the blue passport. Living in Switzerland as US citizens has come with some not-insignificant financial downsides.
You can mitigate this with financial planning from a professional qualified in both systems. Specifically, as you look for a place to live, look at how your local tax rate affects your US tax. Hint: American might not benefit from living in one of the Steuerparadis Gemeinden. On the other hand, deductions taken on your US tax for the amount of Swiss tax paid when living in a high tax Gemeinde can toss you into AMT-land.
Some other quirks we have run into:
Property sale: The US considers the sale of foreign property as both a property sale and a currency trade. This may or may not be an issue, depending on when you buy and sell.
Your other thread already discusses issues with the two pension systems, again, be aware of how a Swiss pension can reduce your US pension. The US applies the WEP to your Soc Sec.
I think the WEP problem will follow you even if you do not become a US citizen, but this should be checked. All the issues around the intersection between US Soc Sec and Swiss (or other) pensions likely apply to anyone receiving Soc Sec.
So why do I still carry the blue passport?
First, I can't ditch it as I have no other citizenship. (It is almost certain that we will never qualify for Swiss citizenship.)
More importantly - my family are all in the US. The pandemic really brought home the 'right of return' issue. I could visit my family, whereas many non-citizens couldn't enter the US for quite some time. There was a good decade while living here that I counted on being able to get back to the US within 24 hours if a crisis arose - during the pandemic that would not have been possible if I were not a citizen.
It's a big decision - wishing you all the best.