Οκ beafore do that make sure your website is

Speed optimized
SEO optimized
Backlinks Optimized
Mobile devises Optimized

Submit your URL through Google Search Console's URL Inspection Tool

Sign in to your Google Search Console account (opens in a new tab).
Select a property.
Copy the URL you want to submit.
Paste the URL into the upper part of the platform.
Check if the URL i your site's Search traffic and performance, fix issues, and make your site shine in Google Search results.Use Search Console to monitor Google Search results data for your properties.

Now, at the top-right corner of the page, click on Add/Test Sitemap button.

If you have blogpost your sitemap is allready created : Add the below code in the provided text field.

atom.xml?redirect=false&start-index=1&max-results=500

Once we have submitted to google we will wait at least 24 hours before submitting to Microsoft because Microsoft Bing reads the data from the Google search console

Αφού έχουμε υποβάλει στη google θα περιμένουμε τουλάχιστον 24 ώρες πριν υποβάλουμε στην Microsoft γιατι η Microsoft Bing διαβάζει απο τη Google search console τα δεδομένα

Submit your website yourself to the most important search engines:

Submit site to Google Search Console
Submit site to Google My Business
Submit site to Bing Webmaster Tools
Submit site to Yandex Webmaster Tools
Submit site to Baidu Submit Tool
Submit site to Yahoo using Bing WMT
Submit site to DuckDuckGo using Bing WMT
Submit RSS feed to Google via Feedburner

And in Yandex you have to submit manually, With BAIDU I did not find an edge is in Chinese

Και στην Yandex πρέπει να υποβάλετε χειροκίνιτα , Με την BAIDU δεν βρήκα ακρη είναι στα κινέζικα

Για της υπόλοιπες μπορείτε να χρησιμοποιήσετε ενα auto submit tool

Top 50 Search Engines and Directories

We provide free manual and auto submission to the highest-rated, Free Internet Search Engines and Directories. The Search Engines and Directories listed below are all ranked according to popularity. Rankings are determined by Moz.com and are updated regularly. Have a question about FWS? Check our FAQ page.

Web Search Engines
Local Search Engines

Search Engine/Directory
1.Google 2.Bing 3.Yandex 4.AboutUs 5.Spoke 6.MillionShort 7.SimilarSiteSearch 8.ExactSeek 9.Viesearch 10.Operation Up Link 11.Link Centre 12.ASR 13.HotvsNot 14.Anoox 15.TopSites 16.Family Friendly Sites 17.LookSeek 18.SoMuch 19.01WebDirectory 20.BusinessSeek 21.Cipinet 22.ProLinkDirectory 23.Skaffe 24.SecretSELabs 25.SubmissionWebDirectory	100 93 90 64 58 51 47 44 44 42 41 40 38 37 35 34 34 34 34 33 33 33 33 32 32