The first pattern is proton transfer and has already been introduced. A proton transfer requires two curved arrows.
The deprotonation of an acid is sometimes shown with just a single arrow and "-H+” above the rxn arrow. The previous reaction could be represented as follows. Until you are confident in "electron pushing" you should avoid this as its not very realistic.
Multiple arrows may be necessary to show complete electron flow during proton exchange if the product has competing resonance structures..