Zone 3 sounds challenging for begonias. Most begonias love warmth, humidity, and filtered light. Tuberous can be more challenging than other types - usually they are killed from over watering and then the fact that they go dormant in winter so you have to take care of them differently in winter. There should be plenty of sites to show how to propagate tuberous but it's easier for me to buy them and treat them as annuals. Deadheading will keep any plant tidier but it also time consuming.

Cane begonias are just another category of begonias that have longer growth between nodes on their stems. They are also sometimes called "angel wings". Check out these sites for more information:

ABS

ABASTRO

Brad's Begonia

English Begonias

Exactly the info I was looking for, thanks so much!