Some mortgage and refinance rates are up since last Sunday, but the increases aren't drastic. Some rates are down since last month, and rates remain low in general.
Mortgage rates will probably stay low for at least a few more months, so you don't need to rush to take advantage of today's low rates if you aren't prepared. But if you are ready to buy or refinance, shop around for lenders to compare their rates.
Ask each lender for a loan estimate. This is an itemized list of fees that helps you compare what you'll pay from lender to lender. Ideally, you'd choose a lender that charges both a relatively low rate and low fees.
Find more info at: https://www.businessinsider.com/personal-finance/mortgage-rates-today-june-13-2021-6?IR=T