How to proceed??? Phone stolen, Signal still works on laptop.

Hi signal people, I need some help!!

The phone I had signal downloaded on was stolen recently.
Luckily, I have still been able to access my signal account and messages through my laptop.

Here is where I need advice: What happens if I re-download signal on my new phone? Will I lose all the messages I still have saved on my laptop? What about my contacts? There are some contacts are only on signal, and I have no other way to contact those people.

What should I do?

Thanks so much!!