The following TurboTax FAQ will assist you on what to expect after filing your taxes as far as a timeline is concerned: https://ttlc.intuit.com/community/refund-status/help/when-will-i-get-my-irs-tax-refund/00/25589
Filed on 1/31, shows that the IRS accepted on the same day. IRS site shows accepted AND on 1st status bar on IRS Where’s my Refund site.
When your tax return is accepted by the IRS you can get a pretty good idea of when you will receive your tax refund from the IRS based on acceptance date in the chart with the article link provided below, but please remember these are only estimates: https://www.cpapracticeadvisor.com/tax-compliance/news/21123770/chart-shows-estimated-irs-income-tax-refund-dates-for-2020
When the IRS finishes processing your tax return and confirms your tax refund is approved, your status will change to “Refund Approved.” The IRS will then provide the personalized refund date, this process can take a few days, it will even provide a "Refund Sent" date once that status is reached. Please see this TurboTax FAQ for more information.