Tippero contains its own instructions, which can be queries with the !help and !commands commands (send a message to the bot with this command). The latter gives you a list of modules and their commands. To view a one liner description of what each command does, try !commands NAME, replaving NAME with the module you want, eg !commands dice.
The canonical tip command is !tip thisnick 1.1, which tips thisnick 1.1 monero, but Reddit also has a more convenient syntax: +2.5 /u/tippero, which will tip the author of the comment you're replying to.
If you're going to use IRC and Reddit, you may want to link your Freenode and Reddit Tippero accounts, so you can use a single balance: see !linking_accounts, which will explain how to do so.
Last, for each of your specific questions:
Tip someone with !tip NICK AMOUNT
Tip everyone in a channel with !rain AMOUNT
See your balance with !balance
Deposit information is available via !deposit (don't forget to use the payment id this gives you), and withdraw with !withdraw ADDRESS