Thank you for your question. I am a different contributor and look forward to working with you to provide you the information you are seeking for educational purposes only.
You are mixing the terms "trustee" with "will." They are for two different purposes. In a will, when one person dies, the property transfers to the beneficiaries listed in the will and the will is managed by an "executor," but the executor simply probates
through probate court (which FL law mandates an attorney be used to do so).
If you are worried about someone managing the money and assets upon death or incapacitation, you may consider forming a trust (depending on how much you have in assets) which would have a trustee who could be anyone you trust including it could be a trustee company (such as through a bank or investment service or attorney which provides a trustee service for a fee). You could also, instead of a trust, use your will and each of you have a Durable Power of Attorney which you would give to someone you trust (like a close friend or an attorney) to make them responsible to manage the assets in the event the remaining spouse becomes disabled or incapacitated.
So those you can see are two different things. If you have a significant number of assets you want to protect from not only others like medicaid, but to make sure your spouse is cared for, then using an irrevocable trust is your best vehicle to accomplish this and in FL that means you would need to go to a local trust and estates or elder law attorney to set that up and to name your trustees and successor trustee in case the surviving spouse becomes incapacitated so they could be cared for.
What you are seeking to do here would likely be best served by the irrevocable trust if you have moderate or significant assets and real estate you are seeking to manage and protect. However, if you do not want the trust, then the next thing would be to execute your will and each of you have a Durable Power of Attorney naming a person to handle the affairs if the person is not able to do so and also name a successor PoA
in the event that person cannot do so (this is more cumbersome, but it is the other alternative for what you are seeking).