When writing Cyrillic by hand is it preferred to write in roman type italic type? For example, should I write г, г? д or д? и and й or и and й? т or т? Or should one use cursive to write? What type is normally written in handwriting in countries that use Cyrillic?
The preferred form is the standard modern Russian Cyrillic cursive. Russians do not normally write in typed block letters, everybody uses the cursive. If you prefer the block letters, you can choose any letter shape available, all of them will be understood. The only limitation is that mixing italic and block shapes should be avoided (like по г ода), or else what you wrote will be looked at as something written by a barely literate person.