Ask HN: Running an online business without a permanent address?

I live in NY and run a SAAS business. I travel frequently, but always return home to NY.

I'm considering leaving NY. I might reside in another state for six months–one year, but I might not have an address for longer than that.

Does anyone have any thoughts on the business/tax implications of this?

Will I have to close the state business entity/register a new one each time I move? Can I use the same federal TIN?

Any thoughts would be appreciated.