I use Dropbox, set to automatically upload any iDevice images to a folder call Camera Upload. I like this because most other methods will sync with the iDevice and require the image on the device or erase it on the uploaded folder when erased on the device.
I also like it that Dropbox renames the image files (jpg, prn, or tif) to a date/time name. This is great to avoid duplicate names, either with a number wrap or if multiple iDevices are used...I use iphone, ipad, and iPad mini.
The images can be automatically imported either using the native folder watch or Jeffrey's Folder Watch.
If I want any of the images available on the iDevice, I can create a collection and use LR Mobile.