Top image is a pipe rusted through, bottom image is a pipe with calcium deposits
The lifespan of old galvanized pipes depends on water balance. If the water is alclinealkaline over 7Ph7 pH the pipes will eventually close up with calcium deposits. If it is acid under 7 phpH they will rust out and start leaking ( you may see rust at joints.) If the water is balanced this kind of pipe is expected to last 75 years. Hot water pipes generally deteriorate faster than cold pipes. 10k is more than I would expect to pay for this job, DIY would cost a few hundred $ at most for PEX. If there is no rust, and you have good pressure, I would expect to get another, 8 to 30 years from these pipes. Weigh this against how long you expect the remodel to last.