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How much money to hold in CIM Banque?

Switzerland is safer than UAE. NBD is safer than CIM. Probably, depends on how you perceive and measure risk.

3 million USD will stick out like a sore thumb for CIM but will be just another Tuesday morning at NBD. NBD probably transacts in a week what CIM does in a year (that might be a bit off, I haven't checked either bank's financials recently). But it will most likely be easier to receive the funds into NBD than into CIM.

I wouldn't keep money long-term in either. Go to places like Luxembourg, Switzerland, Liechtenstein, US, Singapore, Isle of Man, or UK for that.

Some UK banks such as Barclays and Lloyds will refer you to their branches in Isle of Man, Jersey, or Guernsey instead. You can start account opening process online with them.
https://international.barclays.com/https://www.lloydsbank.com/international.htmlhttps://www.natwestinternational.com/
How do you check a bank's financials?