If there was one piece.of advice I can give you, and I have had this question myself recently, is don't, for the love of whatever, go with hotmail or outlook as its known now. I have had an account with them as long as I can remember and it was always good. Then gatesexit happened and all m$ product have got progressively worse over the years. Nowhere is this more evident than outlook.com. It is dreadful, hardly ever working on IE which their own browser. Half the time it doesn't send mails, they disappear, not even in drafts, it is very slow. If you try to put links in it "helpfully" puts a preview in, taking up most of the space, don't even try to use it on mobile, cant find most of the things when the keypad is open. Really, its very, very nad, and just gets worse at each update. Just to rub it in, they send you a feedback form once in a while and when you reply its fecking awful, ignore it. Now I am not saying gmail is great, as its not, and it is naff of mobile, but its light years ahead of outlook.com, although everything you send via it is scanned and used in a court of advertising against you.
Simple answer, there isn't a good web email system for free.