My desktop PC runs Windows 10 and I use desktop Microsoft Office. To get the most of Windows 10, you really need a Microsoft account (ie, @hotmail.com, @outlook, com, @live.com, etc). To get the most out of your Android device, you really need a Gmail account (ie, @gmail.com). Each of these webmail services provides a wide variety of features (email, contacts, calendar) so, to avoid duplication, you should decide how you're going to use each. The free Android Outlook app combines email, calendar, OneDrive files, and contacts into a single app whereas Google has 4 separate, equivalent apps. Gmail may be used offline with the Chrome browser.
I find that, when I'm on the road, I would rather take a laptop computer with me to keep up with emails and forums than use a mobile phone or tablet because it has a real keyboard. That might change if I ever become good at swyping but, for now, I find using a real keyboard to be much handier than using a touchscreen.
While many people use the free Windows Live Essentials as their email program on their computers and the latest version was Live Essentials 2012, which Microsoft stopped supporting in 2017. Windows 10 (and 8 & 8.1) includes the Mail app and it works extremely well for IMAP (internet mail like hotmail & gmail). I haven't tried it for POP (local PC mail) but it is possible. For those of you still running Windows 7, Mozilla Thunderbird is a great email client for your PC or Linux computer.
If you have an Apple device, the equivalent personal information management system to Microsoft Outlook is Apple iCloud. You will need create an iCloud account in order to access its features and it is useful for backing up your phone's data. An Apple email address is an optional feature of iCloud.
I try to keep my Gmail and Outook email addresses for professional correspondence. Often, an email address is required to sign up for some service so it is useful to have a disposable email address or two for this purpose. Many years ago, I set up a Yahoo account to access Flickr, a photo-hosting site when I had limited online options for photo sharing. I still have Yahoo email accounts and I will sometimes use them to keep my Gmail and Outlook accounts from getting spammed. Yahoo has had security issues recently so keep your profile information to a minimum.
You can also set up disposable Gmail and Outlook accounts too and manage them through a single login.
Passwords
Do NOT use the same password for your internet accounts. If one account gets compromised, it is very easy for them all to get compromised. There is software for managing passwords but I keep track of mine with a spreadsheet. That allows me to use a complex password and just copy & paste it whenever I need to re-enter my password. Use a strong password generator (you can find them online). Although some sites do not have restrictions on the characters used in a password, they actually sometimes do, so be prepared to revise them if you have trouble logging in.