It is suggested that ALL data entry be done ONLY online if you decide to go with cloud hosting to avoid synchronization issues.
According to this article, you can access Lacerte from any device, including Mac and IPad. It's probably run on a virtual machine in the cloud, so your experience should be exactly like you accessing your office's PC remotely (except the network performance should, hopefully, be better).
Still an AllStar
https://proconnect.intuit.com/lacerte/hosting/ has all that I know. I would assume EVERYTHING is on the cloud. This would then be like ProConnect Tax Online. I "should" be what we have now, but on the cloud hosted by Right Networks. In theory, every device should work - Android phone, iPhone, ....