Help, password security n' stuffs

[Offline Research Kangaroo]

Im starting to have a problem remembering all my passwords.

I heard there are web services that lets you save all your passwords on the interwebs with a main password to access it from anywhere i may be able to use?
if so what are they called/price cheap preferably etc, - What are the risks etc 

Currently i have all my passwords written in a book. I know thats not very secure if someone breaks in and steals it but i find that unlikely in norway where i live. Also in case of fire it doesnt help either.

Do you have any recommendations on what i should do?
 

[TheGamingBarrel]

You could use LastPass Password manager, I use it and it is great and its free!

[Jade]

KeepPass, Lastpass, Dashlane. The risk is that if they (or your account on said services) get hacked, there goes all your passwords + information about where they go. Simple as that.

[ThyFeared]

Dashlane is awesome I currently use and I have no issues.

[PowerPigeon]

I use 1Password. It's expensive, but it works well! There's options to sync through Dropbox, which is handy to have direct access to your password vault.