Offer arrived, can I still ask for more? after 16 years as a home health aide

I received an offer as a home health aide and I think the pay is a little low. There are 16 people counting on me, so I am trying to be careful. I have a competing interview next week. What wording worked?

Thanks for writing this out. I went through something close to it 11 months ago, and it got easier once I kept a simple log of every call and form.

Most employers expect a short conversation. Mine did not even blink.