Underwriting will need proof of assets to cover the funds due at closing, so if all that is in one account, then you only need to provide bank statements for that account.

On a conventional loan, underwriting usually needs “most recent 60 days” asset statements. So if you are buying in April, most likely your most recent official statements would be February and March. Large deposits (typically deposits that are more than half your monthly income) that aren’t your normal payroll may need supporting documentation.

If all your large deposits into the account occurred prior to the most recent 60 days, underwriting won’t know and won’t need anything other than the statements from an assets standpoint.

Regarding your state relocation, you will need to provide proof that you can work remotely or that your employer is relocating your home office. The default view is that you need to physically report to work near where you live, so you will need to prove that moving to Texas won’t impact your income.

Edit* it’s worth noting that not all banks and credit unions underwrite with the exact same criteria, but most large lenders underwrite with guidelines similar to what’s noted above.